Name __________________________________________________________ Date _________________________________
Assignment on Trig Identities, Inverse Trig, and Solving Trig Equations
Part I: Trig Identities
Directions: Verify each trig identity. You must show your work.
Part II: Inverse Trig
Evaluate each expression. You must show work.
2√3
)
3
1. 𝑐𝑜𝑠 −1 (0)
2. 𝑐𝑠𝑐 −1 (−
3. 𝑐𝑜𝑠 −1 (tan 225°)
4. sec (𝑠𝑖𝑛−1 (− ))
1
2
Pre Calculus
Part III: Solving Trig Equations
Directions: Solve each equation. Give the specified solution
1) 4 + 2 cos(2𝑥) = 8 Find general solution (in radians)
2) 2𝑠𝑖𝑛2 𝑥 + 2𝑠𝑖𝑛𝑥 + 2 = 𝑠𝑖𝑛𝑥 + 3 Give particular solutions: x = [ - 720° , 720° ]
3) sin 𝑥 + cot 𝑥 sin 𝑥 = 0 Give general solution (in degrees)