1.2 Degree and radian practice 3

If [math]f(x)=\sin x[/math] and [math]f(a)=\dfrac{1}{3}[/math], and [math]g(x)=\tan x[/math] and [math]g(b)=\dfrac{1}{2}[/math], find the value of

$$f(a-2\pi)+f(a+6\pi)-g(b)+g(b+3\pi)+g(b-2\pi)$$

Find the refernece angles of [math]2.8[/math]

Write the letter (A-U) that matches each expression.

(a) [math]\sec\left(\dfrac{-7\pi}{4}\right)[/math]

(b) [math]\cos\left(\dfrac{5\pi}{3}\right)[/math]

(c) [math]\csc^2\left(\dfrac{5\pi}{6}\right)-\cot^2\left(\dfrac{5\pi}{6}\right)[/math]

(d) [math]-\sin\left(\dfrac{\pi}{3}+2\pi\right)[/math]

(e) [math]\cot\left(\dfrac{\pi}{2}-\dfrac{\pi}{6}\right)[/math]

(f) [math]\csc\left(\dfrac{3\pi}{2}+\pi\right)[/math]

How many degrees is [math]\dfrac{14\pi}{5}[/math] radians?

What is the reference angle for [math]-\dfrac{21\pi}{5}[/math]?

Simplify the expression: [math]\sin\left(\dfrac{\pi}{2}+x\right)+\cos(\pi-x)[/math].

Solve for [math]\theta[/math] on the interval [math]0\leq\theta<2\pi[/math], when [math]\csc\theta=2[/math].