Analytic Trigonometry

Sin

100

sin of 60 degrees

what is the square root of 3/2?

200

sin of 225 degrees

what is negative square root of 2/2?

300

Sin^-1(sin 9pi/8)

What is -pi/8

400

y=3sin 2x

what is y=1/2sin^-1 x/3

500

f(x)=5sinx+2

What is x-2/5=sin^-1y

Cos

100

cos of 240 degrees

 What is -1/2?

200

Cos^-1(cos 4pi/5)

What is 4pi/5

300

cos(cos^-11.2)

what is undefined

400

f(x)=-2cos(3x)

what is f^-1(x)=1/3cos^-1(-x/2)

500

Find the domain of f^-1(f(x))=cos^-1(cos x)

what is 0<x<pi

Tan

100

tan of 45 degrees

what is 1?

200

tan^-1[tan(-3pi/8)]

What is -3pi/8

300

tan^-1[tan(-2pi/3)]

what is pi/3

400

3tan^-1x=pi

what is the square root of 3

500

Find the domain of f^-1(f(x))=tan^-1(tan x)=x

what is -pi/2<x<pi/2