Trigonometry Chapter 2 Review

Simplifying Trig Expressions

100

(sec²x-1)/sin²x

What is sec²x

200

sin²x(1+cot²x)

What is 1

300

cosx+sinxtanx

What is secx

400

1-[sin²x/(1+cosx)]

What is cosx

500

2sin³xcosx+2sinxcos³x

What is sin2x

Solve the equation on the interval [0,2pi)

100

squareroot(3)tanx-1=0

What is pi/6, 7pi/6

200

4cos²x-1=0

What is pi/3, 2pi/3, 4pi/3, 5pi/3

300

sin2x=sinx

What is 0, pi, pi/3, 5pi/3

400

2cos²x+sinx=1

What is pi/2, 7pi/6, 22pi/6

500

(tanx+1)(2sinx+1)=0

What is 3pi/4, 7pi/4, 7pi/6, 11pi/6

Sum & Difference Formulas

100

Evaluate (tan10+tan80)/(1-tan10tan80)

What is undefined

200

Evaluate cos55cos10+sin55sin10

What is squareroot(2)/2

300

Find the exact value of sin 25pi/12

What is [-squareroot(2)+squareroot(6)]/4

400

Given tanu=3/4 in the third quadrant & cosv=24/25 in the fourth quadrant, find sin(u+v)

What is -44/125

500

Find the exact value of tan 17pi/12

What is squareroot(3) + 2

Double Angle Formulas

100

cos²15-sin²15

What is squareroot(3)/2

200

Given sinx=12/13 in the second quadrant, find cos2x

What is -119/169

300

Given sinx=12/13 in the second quadrant, fin csc2x

What is -169/120

400

Simplify 4sin(x/2)cos(x/2)

What is 2sinx

500

Evaluate [2tan(5pi/12)]/[1-tan²(5pi/12)]

What is -squareroot(3)/3

Half Angle Formulas

100

Find cos15

What is squareroot[2+squareroot(3)]/2

200

sin 5pi/12

What is squareroot[2+squareroot(3)]/2

300

Given tanx=8/15 in the first quadrant, find sec x/2

What is squareroot(17)/4

400

tan 7pi/12

What is -2-squareroot(3)

500

cos(-75)

What is -squareroot[2-squareroot(3)]/2