Honors Trig Chapter 9 Review Jeopardy Template

Simplifying Trig Identities

Identities

Solving Trig Equations

100

Simplify the trigonometric expression.

csc²Acos²A-csc²A

-1

100

Use the Product - Sum Identities to rewrite the expression as a sum or difference.

sin7xsin5x

1/2 cos2x- 1/2 cos12x

100

Use the Product - Sum Identities to rewrite the expression as a product.

-5sin3y-5siny

-10sin2ycosy

100

Solve the equation for all solutions in the given interval.

-8cosx=4sqrt(3) ; (-oo,oo)

x = 5pi/6 +2pik

x = 7pi/6 +2pik

200

Simplify the trigonometric expression.

[(cscx-cotx)(cscx+cotx)]/sinx

cscx

200

Use the Sum and Difference Identities to rewrite the following expression.

cos3xcos5x-sin3xsin5x

cos(8x)

200

Use the Sum and Difference Identities to rewrite the following expression.

sin4xcos2x-cos4xsin2x

sin(2x)

200

Solve the equation for all solutions in the given interval.

tanx-6=-2-3tanx ; (-oo,oo)

x = pi/4 +pik

300

Simplify the trigonometric expression.

1/(coty+tany)=sinycosy

sinycosy=sinycosy

300

Use the Product - Sum Identities to find the exact value of the expression.

4(sin19pi/12-sinpi/12)

-2sqrt(6)

300

Use the Sum and Difference Identities to rewrite the following expression.

cos(x-5pi/4)

- sqrt(2)/2cosx - sqrt(2)/2sinx

300

Solve the equation for all solutions in the given interval.

8cosxcotx=4sqrt(3)cotx ; [3pi/2, 2pi]

x = 3pi/2, 11pi/6

400

sinx/(1-sec²x)=-cotxcosx

-cotxcosx=-cotxcosx

400

Use the Sum and Difference Identities to rewrite the following expression.

sin(225^o-210^o)

(sqrt(6)-sqrt(2))/4

400

Use the Product - Sum Identities to rewrite the expression as a product.

cos2x-cos10x

2sin6xsin4x

400

Solve the equation for all solutions in the given interval.

sec²ycscy-2cscy=2-sec²y ; [pi,2pi]

y = 5pi/4, 3pi/2, 7pi/4