Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 611752: Verify the identity with steps: (sin3x)/(sinxcosx)=4cosx-secx
Click here to see answer by lwsshak3(6471)

Question 611875: Two sides of an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangles that result.
a= 18
b= 12
B= 20 degrees
Click here to see answer by jsmallt9(3296)

Question 611964: I can't remember anything from high school trig. I'm trying to find alpha.
tan(alpha)=tan(gamma)sin(beta)
tan(alpha)=tan(85º)sin(25º)
the book gives me the answer but I cannot figure out how to get the answer:
tan(alpha)=(0.1788701724)(-0.1323517501)
tan(alpha)=-0.0236737804
the book gives the answer as alpha = 78º
Click here to see answer by Alan3354(30983)

Question 612039: find the length of the arc on a circle with a radius of 20 ft and is intercepted by a central angle measuring 2 1/2 radians
Click here to see answer by Alan3354(30983)

Question 612068: The second hand on a clock is 7 inches long. Approximately how far does the tip travel in 2 minutes and 30 seconds?
Click here to see answer by Alan3354(30983)

Question 611857: Hello
Could you please help me with this. And this is going to be word for word, ok
In this problem you will determine the equation of a sin function.
And the following is all of the info you will have on the function.
Amplitude is 3
period is 6. (note the period is not 6π )
phase shift is 2 (again no mention of π)
and graph 2 periods of the function.
Thank for your efforts
Click here to see answer by lwsshak3(6471)

Question 611729: I have to solve the following using trigonometric identities:
1-cos^2(x)*1-tan^2(x)=sin^2(x)-2sin^4(x)/ 1-sin^2(x)
Using the trigonometric identities, I have to prove that it is one, preferably using the left-hand side.
I would appreciate any help that is given.
Thanks!
Click here to see answer by lwsshak3(6471)

Question 612148: Given that cot Ɵ = -(1/3) and csc Ɵ is negative, find the exact values of:
sin Ɵ = ?
cos Ɵ = ?
tan Ɵ = ?
Also, find the number of degrees in Ɵ to the nearest tenth of a degree.
I would love your help, thank you for your time.
Click here to see answer by lwsshak3(6471)

Question 612149: tan pie/12

Click here to see answer by jsmallt9(3296)

Question 612149: tan pie/12

Click here to see answer by Alan3354(30983)

Question 612209: What is the period for y = tan (3 pi / 4 theta) and give where the two asymptotes occur for the function

Click here to see answer by stanbon(57246)

Question 612234: 2sinx+4=0
Click here to see answer by jsmallt9(3296)

Question 612288: Find all solutions of the equation tan theta+cot theta+sec theta+csc theta=0
Click here to see answer by jsmallt9(3296)

Question 612310: Please help me solve this equation:
Find in radians.
*Remember that 0 less than or equal to cos^-1 x less than or equal to pi
Click here to see answer by jsmallt9(3296)

Question 612346: Find the exact value of theta in degree (0° is less than or equal to theta<360°) and the remaining five trigonometric functions if cosine theta =negative square root of three divided by two and tangent theta<0
Click here to see answer by jsmallt9(3296)

Question 612387: how to prove trigonometry identity proof:
1+sinx-cosx/1+sinx+cosx = sin2x(1-cosx)/cosx(1-cos2x)
Click here to see answer by jsmallt9(3296)

Question 612387: how to prove trigonometry identity proof:
1+sinx-cosx/1+sinx+cosx = sin2x(1-cosx)/cosx(1-cos2x)
Click here to see answer by Edwin McCravy(8882)

Question 612314: Please help me solve this problem:
There is a weather balloon going west between two stations that are 12 miles apart.
The balloon is angled from each station at 18 degrees and 76 degrees.
How high is the balloon?
*I need to a system of equations. I need to have two equations that are set equal to each other and I must use substitution. Then I must find the final answer of how high the balloon is.

Click here to see answer by nerdybill(6950)

Question 612445: Prove the identity:
sin(A)·tan(A) + cos(A) = sec(A)
Click here to see answer by Edwin McCravy(8882)

Question 612668: 24xy^4z^3+12x^2y^3z^2-30x^3y^2z^3
Click here to see answer by stanbon(57246)

Question 612667: 4x^2+8x+32
Click here to see answer by Alan3354(30983)

Question 612684: what are the asymptotes of 2tanx?
Click here to see answer by Alan3354(30983)

Question 612706: Express tan(arcsin(x)) without trig functions.
Click here to see answer by jsmallt9(3296)

Question 612804: A function f is defined by f(x)= cos(^2)x + 1/csc2x. What is f(pi/6)?
Click here to see answer by Theo(3458)

Question 612867: Find the two substitutions on the interval [0,2"pi"] 3sinx=sinx-1
Click here to see answer by jsmallt9(3296)

Question 613148: How do you verify that 1+cot(theta)/csc(theta) = sin(theta) + cos(theta)
Click here to see answer by jsmallt9(3296)

Question 613354: Find all values of x to the nearest degree that satisfy the equation 3cos2x + cosx + 2 = 0 if 0o < x < 360o.
Click here to see answer by htmentor(788)

Question 613354: Find all values of x to the nearest degree that satisfy the equation 3cos2x + cosx + 2 = 0 if 0o < x < 360o.
Click here to see answer by solver91311(16868)

Question 613354: Find all values of x to the nearest degree that satisfy the equation 3cos2x + cosx + 2 = 0 if 0o < x < 360o.
Click here to see answer by Alan3354(30983)

Question 613355: Find all values of x to the nearest degree that satisfy the equation 3cos2x + cosx + 2 = 0 if 0o < x < 360o.
Click here to see answer by solver91311(16868)

Question 613397: What is the phase shift , period and verticle shift of y= 9 sin ( x/ 2) +4
Click here to see answer by lwsshak3(6471)

Question 613405: complement of 2pi/9
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Question 613275: find the exact value:
sin (theta) = 4/5 lies in quadrant 1 , find cos 2(theta)
Click here to see answer by jsmallt9(3296)

Question 613414: how do you prove that 1/4(sin4x) = sinx(cosx^3)-cosx(sinx^3)
Click here to see answer by lwsshak3(6471)

Question 613423: A motor turns at 5000 rpm. Calculate angular speed in radians per second. Use 2x radians = 1 revolution. Please show process and answer.
Click here to see answer by Alan3354(30983)

Question 613427: Water is dripping slowly through the bottom of a small
conical cup that is 4 cm across and 6 cm deep. The cup loses half a cubic centimetre of water each
minute. How fast is the water level dropping at the moment when the water is 3 cm deep? Give
your answer both in exact form and to four decimal places.
Click here to see answer by Alan3354(30983)

Question 613555: Find cos theta/2 exactly if tan theta= -7/12 and theta is in Quadrant IV.
Click here to see answer by lwsshak3(6471)

Question 613664: sec 0=square root of 5 what are the other five trig functions
Click here to see answer by ewatrrr(10682)

Question 613664: sec 0=square root of 5 what are the other five trig functions
Click here to see answer by solver91311(16868)

Question 613680: General Degree Solution √2secΘ + 2tanΘ = 0

Click here to see answer by Theo(3458)

Question 613766: What is the period of the function y = 1/2 sin (x/3 - Pi)?
(1) 1/2 (2) 1/3 (3) 2/3 Pi (4) 6 Pi

the formula is period = 2pi/b. I tryed to solve it and I got 6/x....
Click here to see answer by jim_thompson5910(28504)

Question 613759: What is the period of the function y = 1/2 sin (x/3 - Pi)?
Click here to see answer by lwsshak3(6471)

Question 613947: simplify cos(x+π)
Click here to see answer by jsmallt9(3296)

Question 613923: Find the exact value of the trigonometric function. (If an answer does not exist, enter DNE.)
sin 300°
Click here to see answer by lwsshak3(6471)

Question 613912: tan^2theta+1/tan theta*csc^2 theta=tan theta
verify the identity
Click here to see answer by lwsshak3(6471)

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