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Chapter 7: Q.20 (page 473)

Establish the identity: $s e c (θ) \sin (θ) = \tan (θ)$

Short Answer

Expert verified

We establish the identity $s e c (θ) \sin (θ) = \tan (θ)$

Step by step solution

01

Given information

We are given $s e c (θ) \sin (θ)$

02

Use trigonometric formulassec(θ)=1cos(θ)

We get,

$s e c (θ) \sin (θ) = \frac{1}{\cos (θ)} \sin (θ) = \frac{\sin (θ)}{\cos (θ)} = \tan (θ)$

03

Conclusion

We establish the identity $s e c (θ) \sin (θ) = \tan (θ)$

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