Chapter 7: Q.12 (page 473)

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

Short Answer

Expert verified

On multiplying and simplifying we get,

$c s c (θ) - c o t (θ)$

Step by step solution

Given information

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

On multiplying and simplifying

We get,

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

Conclusion

On simplifying and multiplying we get,

$c s c (θ) c o t (θ)$

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

Short Answer

Step by step solution

Given information

On multiplying and simplifying

Conclusion

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

Short Answer

Step by step solution

Given information

On multiplying and simplifying

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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