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Len [333]
3 years ago
14

Verify the identity. tan (x + pi/2) = -cot x

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0
\tan\left(x+\dfrac\pi2\right)=\dfrac{\sin\left(x+\frac\pi2\right)}{\cos\left(x+\frac\pi2\right)}=\dfrac{\sin x\cos\frac\pi2+\cos x\sin\frac\pi2}{\cos x\cos\frac\pi2-\sin x\sin\frac\pi2}=\dfrac{\cos x}{-\sin x}=-\cot x
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Since <em>f(x)</em> is continuous, so is <em>h(x)</em>.

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