Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 437605: Convert the polar equation r^2=2cos^2(theta) + 3sin^2(theta) into a rectangular equation
Thanks again! I'm really stuck on my trig problems!
Click here to see answer by robertb(4012)

Question 437606: For the parametric equation x=7cost, y=sint, 0
Click here to see answer by stanbon(57347)

Question 437565: Use similar triangles to define, in any right triangle with hypotenuse z, the trigonometric function as cos0= x/z sin0= y/z tan0 = y/x Hint: The cirle has a radius 1.
Click here to see answer by robertb(4012)

Question 437589: Find all solutions of the equation 2cos^2theta + cos2theta=0
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Question 437682: why is the fraction 180 degrees/pi radians is equivalent to 1
Click here to see answer by richard1234(5390)

Question 437682: why is the fraction 180 degrees/pi radians is equivalent to 1
Click here to see answer by robertb(4012)

Question 437753: A 25-foot steel beam is leaning against a wall. The bottom of the beam is 15 feet from the wall. What is the size of the angle that the beam makes with the ground? Round your answer to the nearest degree.

Click here to see answer by stanbon(57347)

Question 437754: A steel beam is leaning against a wall. The bottom of the beam is 15 feet from the wall and the top of the beam touches a place on the wall that is 10 feet up from the ground. What is the size of the angle that the beam makes with the ground? Round your answer to the nearest degree.

Click here to see answer by stanbon(57347)

Question 437752: A kite rises at an angle of 11° with the ground. Find the distance the kite has flown when it has covered a horizontal distance of 100 feet. Round your answer to the nearest foot.
Click here to see answer by stanbon(57347)

Question 437811: Will you please solve the following equation and find all solutions? And provide an explanation?
I am not sure whether to write it this way:

or this way:
2sin^2(x) + 3sin(x) +1 = 0
Thank you
Click here to see answer by ewatrrr(10682)

Question 437816: Can you please solve this equation and find all solutions? And give an explanation?
I am not sure whether to write it like this:

or like this:
4cos^2(2x) - 1 = 0
Thank you
Click here to see answer by Alan3354(30993)

Question 437998: Hi i need help on the question:
Given theta, phi [0,pi/2], tan(theta)=1/2, and tan(phi)= 3/4, find the exact value of tan(phi - theta).
I'm not sure if you're supposed to plug into an equation? or just simply solve the problem.
Click here to see answer by solver91311(16885)

Question 437992: Hi, i'm just not sure how to even start this problem? Thanks for the help!
Given alpha, beta [0,pi/2], sin alpha= 1/3, sin beta= 1/4, find the exact value of sin(alpha + beta)

Click here to see answer by stanbon(57347)

Question 438018: In non-right triangle ABC, let A=120 degrees, a = 7cm, and b=3cm. Find side c and angles B and C.
I'm really not sure about this problem- I THINK I found angle B by- sinB/3=sin120/7. By cross multiplying I got sinB= 3sin120/7=.37
I then did sin^-1.37=21.72 degrees.
180-21.72=158.28 (degees as angle B). But i'm not quite sure if you could help with the rest i'd really appreciate it!
Click here to see answer by stanbon(57347)

Question 438002: Find all solutions of the equation tan²x + 2sec²x = 7, where -p/2 < x < p/2.
Click here to see answer by Edwin McCravy(8909)

Question 438151: Please help me prove that:
Click here to see answer by robertb(4012)

Question 438257: Prove the identity:
1 over 1 - [(1)] over 1 - (1) over 1 - =
Ok, so this question is really weird and no matter how I try , I just can't seem to get it right on this site. It is identity between the two sides NOT equal sign. And the part after "over" is under the one before the "over". If you can't understand, please reply back to me :(
Click here to see answer by robertb(4012)

Question 438253: If and , show that .

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Question 438253: If and , show that .

Click here to see answer by Alan3354(30993)

Question 438254: Sketch the graphs of for 0 degrees is smaller than or equal to x and 360 degrees is greater than or equal to x.

Click here to see answer by Alan3354(30993)

Question 438285: If the cos B = 0.9659, find m ∠B to the nearest degree.
Click here to see answer by Alan3354(30993)

Question 438295: The sides of a triangle are 2cm, 3cm, and 4cm. Determine the measurement of the angle opposite the longest side.
Click here to see answer by Alan3354(30993)

Question 438302: A plane flying at a height of 3.5 miles is at point C. At that point the angle of depression to city A is measured to be 48 degrees and the agnle of depression to city B is measured to be 36 degrees. Calculate the distance in miles between cities A and B.
Click here to see answer by htmentor(789)

Question 438443: Prove the given statement is an identity
sin^2x (1+ tan^2)x = tan^2 x

Click here to see answer by Alan3354(30993)

Question 438458: Prove that the given is an identity.
1 + (1/cosx)= tan^2x/(secx-1)
Click here to see answer by lwsshak3(6505)

Question 438552: If Ɵ is in quadrant IV and sin Ɵ= -2/3 find the exact value of cos(Ɵ/2)
Click here to see answer by lwsshak3(6505)

Question 438731: Addition or subtraction formula to find the exact value
tan(7pi/12)
Click here to see answer by lwsshak3(6505)

Question 438759: Prove that in an acute angled triangle ABC , a/sin A = b/sin B =c/sin C
Click here to see answer by robertb(4012)

Question 438802: Sami has a 10 speed bike. the radius of the large sprocket attached to the pedal is 4 inches. In 7th gear, the radius of the sprocket attached to the back wheel is 1.5 inches. When sami makes the pedal go 1 revolution, the bike travels 100 feet. What is the radius of the wheel of Sami's bike?
Click here to see answer by stanbon(57347)

Question 375458: An 85-foot long irrigation sprinkler line rotates around one end. The sprinkler moves through an arc of 250 degrees in 8.85 hours. Find the speed of the moving end of the sprinkler in feet per minute. Round your answer to the nearest tenth.
Click here to see answer by lowmathskills(1)

Question 438966: Prove the following is an identity.
1) 2csc^2 x = [(1/(1+cos x)] + [(1/1-cos x)]
2)cos x/(sin x*tan x+ cos x) = 1/ sec^2 x

Click here to see answer by Edwin McCravy(8909)

Question 439122: Solve the equation on the interval: O < or equal to Theta < 2 pi.
Tan(2Theta) = -1
Click here to see answer by stanbon(57347)

Question 439156: Without using tables.find the value of log3.6, if log2=0.3010,log3=0.4771 and log5=0.6990.
Click here to see answer by lwsshak3(6505)

Question 439239: Please help...
Sketch the graph of Arccos x if Cos x has a domain of 0 ≤ x ≤ π
Click here to see answer by MathLover1(6633)

Question 439219: If a stick is 1 m, 1.5m shadow it casts is, how high does a building at the same time makes a shadow of 6m?

Click here to see answer by jorel1380(2518)

Question 439286: Prove that the given statement is an identity.
1)(tan x - cot x)/ (tan x+cot x) = 2sin^2 x - 1
Click here to see answer by MathLover1(6633)

Question 439288: Prove that the following statement is an identity.
1) (sin x + tan x)/ (1+sec x) = sin x
Click here to see answer by Edwin McCravy(8909)

Question 439324: on june 1, 2009, the price of gas was $1.79 per gallon. The price is predicted to increase .3% per month. if that prediction is correct, about how many months, to the nearest whole number, will it take for the price of a gallon to reach $1.90?
Click here to see answer by rwm(914)

Question 439333: I need help with solving cos^2x - cos2x = 0 on the interval {0,2π).
(cos^2x = cos(squared)x)
This is what I have tried:
(1)
cos^2x - 2cos^2x - 1 = 0 (From the double-angle identity for cos2x)
cos^2x - 2cos^2x = 1
-cos^2x = 1
Is there anything else that I could have done?
Click here to see answer by stanbon(57347)

Question 439331: The expression cos70cos10 + sin70sin10 is equivalent to?
Click here to see answer by stanbon(57347)

Question 439267: The amount P of pollution varies directly with the population N of people. City A has a population of 416000 and produces 260000 tons of pollutants. Find how many tons of pollution we should expect City B to produce, if we know that its population is 348000
Click here to see answer by jorel1380(2518)

Question 439351: The inverse of Cos x is a function. The domain of Cos x could be?
Thanks
Kamla
Click here to see answer by stanbon(57347)

Question 439349: The volume V of a sphere with a radius r is given by the formula V=4/3 *pi*r^3 . Find the radius of a ball with a volume of 41 cubic inches to the nearest hundredth of an inch.
Thanks
Kamla
Click here to see answer by stanbon(57347)

Question 439348: Find all values of θ in the interval 0 ≤ θ < 360° that satisfy the equation 2 sin^2 θ + sin θ = 1
Thanks
Kamla
Click here to see answer by stanbon(57347)

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