Question:
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.