Chapter 7: Q.13 (page 473)

Rewrite over a common denominator:
$\frac{\sin (θ) + \cos (θ)}{\cos (θ)} + \frac{\sin (θ) + \cos (θ)}{\sin (θ)}$

Short Answer

Expert verified

on simplifying over common denominator we get,

$\frac{1 + 2 \sin (θ) \cos (θ)}{\sin (θ) \cos (θ)}$

Step by step solution

Given information

We are given a equation $\frac{\sin (θ) + \cos (θ)}{\cos (θ)} + \frac{\sin (θ) + \cos (θ)}{\sin (θ)}$

On cross multiplying

We get,

$\frac{\sin^{2} (θ) + \sin (θ) \cos (θ) + \sin (θ) \cos (θ) + \cos^{2} (θ)}{\sin (θ) \cos (θ)} = \frac{\sin^{2} (θ) + \cos^{2} (θ) + 2 \sin (θ) \cos (θ)}{\sin (θ) \cos (θ)} = \frac{1 + 2 \sin (θ) \cos (θ)}{\sin (θ) \cos (θ)}$

Conclusion

On simplifying we get $\frac{1 + 2 \sin (θ) \cos (θ)}{\sin (θ) \cos (θ)}$

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Rewrite over a common denominator:
$\frac{\sin (θ) + \cos (θ)}{\cos (θ)} + \frac{\sin (θ) + \cos (θ)}{\sin (θ)}$

Short Answer

Step by step solution

Given information

On cross multiplying

Conclusion

One App. One Place for Learning.

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Rewrite over a common denominator:sin(θ)+cos(θ)cos(θ)+sin(θ)+cos(θ)sin(θ)

Short Answer

Step by step solution

Given information

On cross multiplying

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Rewrite over a common denominator:
$\frac{\sin (θ) + \cos (θ)}{\cos (θ)} + \frac{\sin (θ) + \cos (θ)}{\sin (θ)}$