Chapter 7: Q.11 (page 473)

Multiply: $\frac{\cos (θ)}{1 - \sin (θ)} \frac{1 + \sin (θ)}{1 + \sin (θ)}$

Short Answer

Expert verified

On multiplying and simplifying we get,

$s e c (θ) + \tan (θ)$

Step by step solution

Given information

We are given an equation $\frac{\cos (θ)}{1 - \sin (θ)} \frac{1 + \sin (θ)}{1 + \sin (θ)}$

Multiply

on multiplying we get,

$\frac{\cos (θ)}{1 - \sin (θ)} \frac{1 + \sin (θ)}{1 + \sin (θ)} = \frac{\cos (θ) (1 + \sin (θ))}{1 - \sin^{2} (θ)} = \frac{\cos (θ) (1 + \sin (θ))}{\cos^{2} (θ)} = \frac{1 + \sin (θ)}{\cos (θ)} = \frac{1}{\cos (θ)} + \frac{\sin (θ)}{\cos (θ)} = s e c (θ) + \tan (θ)$

Conclusion

On multiplying and simplifying we get,

$s e c (θ) + \tan (θ)$

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Multiply: $\frac{\cos (θ)}{1 - \sin (θ)} \frac{1 + \sin (θ)}{1 + \sin (θ)}$

Short Answer

Step by step solution

Given information

Multiply

Conclusion

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Multiply:cos(θ)1-sin(θ)1+sin(θ)1+sin(θ)

Short Answer

Step by step solution

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Conclusion

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Multiply: $\frac{\cos (θ)}{1 - \sin (θ)} \frac{1 + \sin (θ)}{1 + \sin (θ)}$