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# Trigonometric Equations and Identities

1. Solve each equation for the domain interval 0 less than or equal to x less than or equal to 2pie. Round the answers to the nearest hundredth of a radian, if necessary.
a) 2cossquaredx+cosx=0

b) tansquaredx-1=0

c) 6sinsquaredx+sinx-1=0

2. Simplify each trigonometric expression.

a) sinx (Supposed to be sinx divided by tanxcosx)
_____
tanxcosx

b) sin4x+sinsquaredxcossquaredx (sin to the 4)

c) sinx-sinxcossquaredx
___________________
sinsquaredx

3. Prove each identity.

a) tanx+ 1 = 1
_____ ________
tanx sinxcosx

b) tanx-1=sinsquaredx-cossquaredx
______________________
sinxcosx+cossquaredx

4. Solve the equation cossquaredx+2sinx+1=0 for the domain 0less thanor equal to x less than or equal to 2pie.

#### Solution Summary

Trigonometric Equations and Identities are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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