Question

HELP PLEASE WITH NUMBER 4. I'LL GIVE YOU FULL 50 POINTS WITH STEP BY STEP WORKING!!!

NUMBER FOUR!! PLEASE !!!

Answer 1

a)


`\tan\theta=(\sin\theta)/(\cos\theta)=\boxed{(a)/(b)}`

b)

From the reduction formulas we know that:


`\sin(\pi-\theta)=\sin(\theta)=\boxed{a}`

c)


`\cos(\pi+\theta)=-\cos(\theta)=\boxed{-b}`

d)


`\tan(\pi+\theta)=(\sin(\pi+\theta))/(\cos(\pi+\theta))=(-\sin(\theta))/(-\cos(\theta))=(\sin(\theta))/(\cos(\theta))=\boxed{(a)/(b)}`

e)


`\sin(\pi+\theta)=-\sin(\theta)=\boxed{-a}`

f)

Cosine is an even function, so:


`\cos(-\theta)=\cos(\theta)=\boxed{b}`

g)


`\sin(2\pi-\theta)=-\sin(\theta)=\boxed{-a}`

h)


`\cos(\theta-\pi)=\cos\big(-(\pi-\theta)\big)=\cos(\pi-\theta)=-\cos(\theta)=\boxed{-b}`