Composing Trig and Inverse Trig Functions Worksheet with Answer Key

What's on the worksheet

1. Find the exact value.
   \csc\left(\arccos\dfrac{12}{37}\right)\cot\left(\arccos\left(-\dfrac{33}{65}\right)\right)\csc\left(\arctan\left(-\dfrac{60}{11}\right)\right)\tan\left(\arccos\left(-\dfrac{2}{3}\right)\right)\sec\left(\arcsin\left(-\dfrac{16}{65}\right)\right)
2. Write each as an algebraic expression in x and give its domain.
   \cos(\arcsin(2x))\csc\left(\arctan\dfrac{x}{5}\right)\sec\left(\arcsin\dfrac{x}{6}\right)\cot(\arcsin(x - 2))
3. Find the exact value.
   \cos\left(\arctan\left(\sin\dfrac{3\pi}{2}\right)\right)\arccos\left(\tan\dfrac{3\pi}{4}\right)\sec\left(\arctan\left(\tan\dfrac{2\pi}{3}\right)\right)
4. Let θ = (-49) and = (-49).
5. Elena writes (x4) as √(16 - x²)4 when x ≥ 0 and as -√(16 - x²)4 when x < 0, "because a negative x moves the angle to another quadrant, where the…
6. Let $f