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Chapter 7: Q.10 (page 473)

Rewrite in terms of sine and cosine functions: $c o t (θ) s e c (θ)$

Short Answer

Expert verified

The simplified expression can be given as $\frac{1}{\sin θ}$

Step by step solution

01

Given information

We are given a expression $c o t (θ) s e c (θ)$

02

We use trigonometric formulascot(θ)=cos(θ)sin(θ)sec(θ)=1cos(θ)

We get,

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

03

Conclusion

The simplified expression is $\frac{1}{\sin (θ)}$ .

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Most popular questions from this chapter

True or False : In establishing an identity, it is often easiest to just multiply both sides by a well-chosen nonzero expression involving the variable.

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