Question

if sin (90-A)+ cosA = root2 cos(90-A) find the value of CosecA


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Answer 1

Step-by-step explanation:

$\sin(90 - a) = \cos(a) \\ hence \: \cos(a) + \cos(a) = \sqrt{2} \cos(90 - a) \\ 2 \cos(a) = \sqrt{2} \sin(a) \\ \tan(a) = \sqrt{2} \\ so \: \csc(a) = \sqrt{1 + \frac{1}{ { \tan(a) }^{2} } } \\ = \sqrt{1 + \frac{1}{2} } \\ = { \frac{3}{2} }$

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