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

NUMBER FOUR!! PLEASE !!!

HELP PLEASE WITH NUMBER 4. I'LL GIVE YOU FULL 50 POINTS WITH STEP BY STEP WORKING-example-1

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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}
User Ngoan Nguyen
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