# Questions on Algebra: Trigonometry answered by real tutors!

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 627380: Use an algebraic method to find the exact solution(s) of 2 cos^2x + sin x =1 where x is any real number. (Please show work) Click here to see answer by hammy(9)

 Question 627470: Please help me solve this question. The length of the shorter leg, A, of a right triangle is 6 centimeters less than the length of the hypotenuse, C, and the length of the longer leg, B, is 3 centimeters less than the length of the hypotenuse. Find the length of the sides of the right triangle. Click here to see answer by nerdybill(6958)

 Question 627576: Use a calculator to find the values of the inverse function in radians. tan^-1(3.23) I don't have a calculator Click here to see answer by ewatrrr(10682)

 Question 627575: Use the unit circle to find the inverse function value in degrees cos^1 [^3/2] Click here to see answer by ewatrrr(10682)

 Question 627579: Use the angle sum identities to find the exact value of the trigonometric expression tan 345° A. 2 = sqrt3 B. -2 - sqrt3 C. -2 + sqrt3 D. 2 - sqrt3 Click here to see answer by jsmallt9(3296)

 Question 627658: determine the exact value of each trig ratio; a) sin 2π/3 b)cos 7π/6 c)sin 5π/4 d)tan 4π/3 e)sec 7π/6 Click here to see answer by solver91311(16877)
 Question 627658: determine the exact value of each trig ratio; a) sin 2π/3 b)cos 7π/6 c)sin 5π/4 d)tan 4π/3 e)sec 7π/6 Click here to see answer by ewatrrr(10682)

 Question 627696: Please help me solve this equation;it uses the law of cosines. a = 12, b = 22, C = 95° I need to find what side "c" eqauls and aslo what angle A and angle B equal Click here to see answer by solver91311(16877)

 Question 627577: What values for q (0 £ q < 2p) satisfy the equation? 2sqrt2sinq + 2 = 0 Click here to see answer by jsmallt9(3296)

 Question 627701: Give all six trigonometric functions of the angle defined by a terminal point (60,61,11/61) Click here to see answer by solver91311(16877)

 Question 627703: Give all six trigonometric functions of the angle defined by a terminal point (7/25,24/25) Click here to see answer by solver91311(16877)

 Question 627880: convert from polar (trigonometric) form to rectangular form: 2(cis) Click here to see answer by Edwin McCravy(8908)

 Question 627890: sin pie by 7 multiplied by sin2 pie by 7 multipled by sin3 pie by 7 = root 7 by 8 (prove LHS = RHS ) Click here to see answer by Susmitha(21)

 Question 627967: Rewrite the expression as a triginometric function of a single measure ``` tan(4θ) + tan(2θ) ------------------- 1 - tan(4θ)tan(2θ)``` Click here to see answer by Edwin McCravy(8908)

 Question 627976: Use an angle sum identity to verify the identity cos^2 theta = 2 cos^2 theta - 1 Click here to see answer by Alan3354(30993)

 Question 628076: How do you determine the range of this function: y = 2 + 2sec(2x) Click here to see answer by solver91311(16877)
 Question 628076: How do you determine the range of this function: y = 2 + 2sec(2x) Click here to see answer by Edwin McCravy(8908)

 Question 627964: What is the simplified form of sin(x + P)? A cos x B sin x C -sin x D -cos x Click here to see answer by Alan3354(30993)

 Question 627972: Verify the identity. Justify each step. tan theta + cot theta = 1/sin theta cos theta Click here to see answer by KMST(1868)

 Question 627975: Verify the identity. Justify each step. cot [theta - x/2] = - tan theta Click here to see answer by jsmallt9(3296)

 Question 628147: from an h=63 feet observation tower on the coast, a coast guard sights a boat. the angle of depression is 4 degrees. how far is the boat from the shore line? Click here to see answer by ankor@dixie-net.com(15649)

 Question 628201: Determine the asymptotes of this function: y = -csc(pi x/2 + pi/2) Here is my solution: pi x/2 + pi/2 = k pi pi x + pi = 2k pi pi x = -pi + 2k pi x = -1 + 2k pi Click here to see answer by jsmallt9(3296)

 Question 628220: Describe the pattern formed in the sequence 16,-8,4,-2,1... Find the next three terms. Click here to see answer by ewatrrr(10682)

 Question 628240: explain why the trig equation sinx = √3cos x is not an identity? Click here to see answer by Alan3354(30993)

 Question 628290: Determine the equation of the vertical asymptotes: y = cot(x - pi/6) Here is my solution, but is my answer correct? x - pi/6 = k pi x = pi/6 + k pi Click here to see answer by stanbon(57307)

 Question 628408: Simplify the expression: cos(-x)/sin(-x) - cos(-x)/sin(x) Here is my solution which I am not sure if it is correct: cos(x)/-sin(x) + cos(x)/sin(x) = -cos(x)/sin(x) + cos(x)/sin(x) = 0 Click here to see answer by Tatiana_Stebko(1326)

 Question 628468: Without graphing, determine whether the function y = 7(0.28)^x represents exponential growth or exponential decay. Click here to see answer by jim_thompson5910(28593)

 Question 628469: Use a graphing calculator to solve the equation -3 cos t = 1 in the interval from 0 to 2p. Round to the nearest hundredth. Click here to see answer by stanbon(57307)
 Question 628469: Use a graphing calculator to solve the equation -3 cos t = 1 in the interval from 0 to 2p. Round to the nearest hundredth. Click here to see answer by Edwin McCravy(8908)

 Question 628525: need help proving (2tan(alpha))/(1+tan^2(alpha))=sin(2)alpha and also this one tan(B-a) if sin(a)alpha=4/5 and cos(B) beta= -12/13 Click here to see answer by jsmallt9(3296)

 Question 628647: From a boat on the lake, the angle of elevation to the top of a cliff is 26°1'. If the base of the cliff is 205 feet from the boat, how high is the cliff (to the nearest foot)? Click here to see answer by Alan3354(30993)

 Question 628646: From a balloon 915 feet high, the angle of depression to the ranger headquarters is 85°14'. How far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)? Click here to see answer by Alan3354(30993)

 Question 628662: solve the equation exactly over the interval [0,2pi) cos 2x= sqrt2 -cos 2x Click here to see answer by stanbon(57307)

 Question 628648: A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed the angle of depression to the boat is 17°31'. When the boat stops, the angle of depression is 46°41'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. Click here to see answer by ankor@dixie-net.com(15649)

 Question 628762: hello there...i am having a problem with this question...can you help me solve it??? the question is (sec y/(sec y - cos y)) = cosec^2 y Click here to see answer by Tatiana_Stebko(1326)

 Question 628726: I have to complete this statement: The domain of y=arcsin x equals the ________ of y=sin x. I know that the sine of any angle is between -1 and 1. Therefore, it is my understanding that the -1 is less than/equal to x which is less than/equal to 1. I know that y=arcsin x = sin-1 x; the inverse. I'm just not sure what to put in the blank. Maybe I am looking at it all wrong. Any help is much appreciated! Thanks! Click here to see answer by jsmallt9(3296)

 Question 628908: let (-3,-5) be a point on the terminal side of θ. find the exact values of cosθ, secθ, and cotθ. Click here to see answer by jsmallt9(3296)