Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 505854: I need help on solving a system of linear equations
5x - 4y = 7
2y +6x = 22
Click here to see answer by richwmiller(9143)

Question 505862: Please prove this using Trigonometric Identities:
sin⁴x - cos⁴x + cos²x = sin²x
Click here to see answer by lwsshak3(6518)

Question 505808: How do I verify the trigonometric identity cos theta + sin theta tan theta = sec theta by transforming the left hand side into the right hand side?
Click here to see answer by lwsshak3(6518)

Question 506008: find the exact value of (pi/6) using the 6 trig functions
Click here to see answer by lwsshak3(6518)

Question 505417: A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road that leads northeast. If the car has maintained a constant speed of 56 mi/h, how far is it from its starting position? Round your answer to 2 decimal places.
Click here to see answer by lwsshak3(6518)

Question 506310: Evaluate without using a calculator, use the fractions in the unit circle:
2sin^2 30° + cos210° + tan^2 315°
Click here to see answer by lwsshak3(6518)

Question 507181: convert each degree measure to exact radian measure
-415
-519
570
-174
473
905
-799
100
44
401
270
812
-712
-623
-332
633
-54
-228
-875
763
217
-790
299
-81
-705
513
374
-321
-239
123
Click here to see answer by Edwin McCravy(8909)

Question 507281: what is the phase shift of f(x) = 1/2 sin (1/5x-pi)+3?
Click here to see answer by stanbon(57377)

Question 507337: if theta =(7pi)/6, then find exact value for the following:
sec(theta)=
Click here to see answer by stanbon(57377)

Question 507339: Evaluate the following expressions. The answer must be given as a fraction, NO DECIMALS. If the answer involves a square root it should be entered as sqrt.
If tan(theta)=4/3 and sin(theta)<0, then find:
a)sin(theta)
b)cos(theta)
c)sec(theta)
d)csc(theta)
e)cot(theta)
Click here to see answer by stanbon(57377)

Question 507838: In a right triangle ABC, the ratio of the hypotenuse to the side adjacent to angle A is defined as?
I got sec A for an answer, but not sure if that is 100 % correct.
Click here to see answer by oberobic(2304)

Question 507836: By using trigonometric identities, find the value of sin A if tan A = 1/2.
Click here to see answer by stanbon(57377)

Question 507835: If cot A = 1.960000 and the acute angle A has to be determined, which one of the following expressions will give the seconds of the angle?
Click here to see answer by stanbon(57377)

Question 507833: If in a right triangle the sides a and b are known, the angle B equals?

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Question 507545: Determine the period, phase shift, and range of y = cos (1/2x)+1
Click here to see answer by stanbon(57377)

Question 508364: sec(sin^-1 x/(x ^2+4))
Click here to see answer by lwsshak3(6518)

Question 508422: Find the length of a side of regular hexagon inscribed in a 130-cm-radius circle.

Click here to see answer by Edwin McCravy(8909)

Question 508239: Airport B is 300 mi from airport A at a bearing N 50°E (see the figure). A pilot wishing to fly from A to B mistakenly flies due east at 175 mi/h for 35 minutes, when he notices his error
How far is the pilot from his destination at the time he notices the error? Give your answer correct to the nearest mile?
What bearing should he head his plane in order to arrive at airport B? Give your answer correct to the nearest degree?
Click here to see answer by lwsshak3(6518)

Question 508177: identify the domain, range, amplitude, period, phase shift, and vertical shift of y=3sin(2x-4)+1
Click here to see answer by lwsshak3(6518)

Question 509195: Evaluate:
Sec (-7pi/6) + Csc (pi/3) + tan 8pi/3
This is what I have so far:
Sec -210 = -2 times the square root of 3 / 3
Csc 30 = 2
tan 480 = - the square root of 3
What I got was -5 times the square root of 3 + 6.
How do you get a - square root of 3?

Click here to see answer by solver91311(16897)

Question 509210: Find the exact values of the six trigonametric functions of theta if theta is in standard position and thepoint P(-3,5) is on the terminal side of theta.
Click here to see answer by lwsshak3(6518)

Question 509019: how do you find the amplitude, period, and phase shift of y = 4sin(theta)?
Click here to see answer by lwsshak3(6518)

Question 509709: the derivative of xsin(x)^1/2
Click here to see answer by richard1234(5390)

Question 509974: find all solutions of the equation: sin(2x-pi/3)=1/2
Click here to see answer by lwsshak3(6518)

Question 509962: for y=2cos(4x-pi/3)
find
a)amplitude
b)period
c)phase shift
Click here to see answer by lwsshak3(6518)

Question 509844: (cosx-sqrt2/2)(secx-1)=0
1.use the zero product property to set up two equatione that will lead to solutions to the original equation.
2.use reciprocal identity to express the equation involving secant in term of sine,cosine,or tangent.
Click here to see answer by lwsshak3(6518)

Question 509629: y=8sin(4x-3pie)-4
graph
Click here to see answer by lwsshak3(6518)

Question 509511: Use the properties of logarithms to solve the equation for x.
log2(5x − 27) = 3
Click here to see answer by lwsshak3(6518)

Question 509485: If the length of one side of a square is 2h+3, express in terms of h
A. the perimeter of the square
B. The area of the square
Click here to see answer by lwsshak3(6518)

Question 510166: -8i
_____
1+ 3i simplify. Answers should be in standard a + bi form
Click here to see answer by solver91311(16897)

Question 510165: -8i
_____
1+ 3i simplify. Answers should be in standard a + bi form
Click here to see answer by solver91311(16897)

Question 508179: prove that sin(pi-theta)=cos{(pi/2)-(theta)}
Click here to see answer by lwsshak3(6518)

Question 510353: I am trying to graph y=2cos3(x-(pi/4)), how would I find the x and y-intercepts for this?
Click here to see answer by lwsshak3(6518)

Question 510220: Use an appropriate half-angle formula to find the exact value of the expression tan(17 pi/12)
Click here to see answer by lwsshak3(6518)

Question 508752: Help me find the values of Ɵ, where 0°<Ɵ<360°, that satisfy the following equations:
Sin Ɵ=1/√2.

tan Ɵ=√3

Click here to see answer by lwsshak3(6518)

Question 507915: Prove(cosecx)/(cotx+tanx) =cosx
Click here to see answer by lwsshak3(6518)

Question 510747: Hi!
I need help with some Trigonometry graphing problems.
How do I graph the following:
y= 2 csc (2x - pi/2)
y= 3 + 3 csc (1/2x)
Click here to see answer by Alan3354(30993)

Question 510747: Hi!
I need help with some Trigonometry graphing problems.
How do I graph the following:
y= 2 csc (2x - pi/2)
y= 3 + 3 csc (1/2x)
Click here to see answer by stanbon(57377)

Question 510746: Hi!
I need help with some Trigonometry graphing problems.
How do I graph the following:
y= cot (x + pi/4)

Click here to see answer by Alan3354(30993)

Question 510651: Find the values of the trigonometric functions of θ from the information given.
cos θ = − 3/4, tan θ < 0
Click here to see answer by stanbon(57377)

Question 510647: bata =4 is found in quadrant 3 and bata= ?
Click here to see answer by stanbon(57377)

Question 510638: A potato at room temperature of 20°C is placed in an oven whose temperature is 210°C. An hour later the temperature of a potato is 150°C. Under the (unreasonable) assumption that the potato's temperature is always uniform, how many minutes did it take the potato to reach 50°C?(Round your answer to one decimal place.)

Click here to see answer by stanbon(57377)

Question 510780: tan x = - sqrt 3
tan x equals negative square root of 3
What I have is -60 and 300. Is that right?
Click here to see answer by stanbon(57377)

Question 510801: The problem is A= 3.14( pie symbol)rs(<- variables)+ r to the 2nd power. solve for s. I tried dividing by r to the 2nd power but it ended up eliminating s, please help(:
Click here to see answer by stanbon(57377)

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