SOLUTION: I am supposed to find the exact values of the following:
sin^-1 (sin(-7pi/10))
cos(csc^-1 (3/5) + tan^-1 (-1/2))
Algebra.Com
Question 924423: I am supposed to find the exact values of the following:
sin^-1 (sin(-7pi/10))
cos(csc^-1 (3/5) + tan^-1 (-1/2))
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the exact values of the following:
sin^-1 (sin(-7pi/10))
Since sin and sin^-1 are inverse functions,
your answer is (-7pi/10)
-------------------------------------
cos(csc^-1 (3/5) + tan^-1 (-1/2))
= cos(csc-1(3/5))cos(tan-1(-1/2) - sin(csc^-1(3/5))sin(tan^-1(-1/2))
----
= sqrt(25-9)/5 * 2/sqrt(1+4) - (3/5)*(1/sqrt(4+1))
----
= (4/5)*2/sqrt(5) - (3/5)*(1/sqrt(5))
----
= (8 - 3)/(5sqrt(5))
===
= 1/sqrt(5)
OR
= (1/5)sqrt(5)
-------------
Cheers,
Stan H.
---------------
RELATED QUESTIONS
find the exact values of cot[sin^1(-1)] csc(cos^1 sqrt3/2)sec[tan^-1(-sqrt3)
(answered by lwsshak3)
Find the values of Sin, Tan, Cos, Cot, Sec, and Csc for the argument.
1. 5pi/4
2.... (answered by addingup,MathTherapy,Alan3354)
(1). Find all solutions for x (exact values in radians): {{{ 2sin(3x)cos(x) -sqrt(3)... (answered by lwsshak3)
Find the exact values of sin 2u , Cos 2u, and tan 2u using double angle formulas.
1.... (answered by stanbon)
Find the exact value of the expression.
sin(cos^-1 2/3 - tan^-1... (answered by KMST)
cos(θ)=1/6 and the terminal side of θ is in quadrant I. Find the exact values (answered by Alan3354)
Find the other five trigonometric functions for each of the following given:
1. sin ¢ =... (answered by Alan3354)
Find the exact value of the expression
sin((tan^-1 3/4) +(cos^-1... (answered by lwsshak3)
find the exact value of cos(sin inverse 1/3 - tan inverse... (answered by lwsshak3)