Question

If cosec 2A = sec (A - π / 4 ) , Then A = ?​

Answer 1

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Answer 2

$\huge\underline\mathrm{SOLUTION:-}$

AnswEr:

• A = $\mathsf {\frac{\pi}{4} }$

Given:

• If Cosec 2A = Sec $\mathsf {\Bigg(A - \frac{\pi}{4}\Bigg)}$

Need To Find:

• A = ?

ExPlanation:

Cosec 2A = Sec$\mathsf {\Bigg(A - \frac{\pi}{4}\Bigg) }$

Cosec 2A = Cosec$\mathsf {\Bigg(\frac{\pi}{2} - (A - \frac{\pi}{4})\Bigg)}$

Cosec 2A = Cosec$\mathsf {\Bigg( \frac{\pi}{2} - A + \frac{\pi}{4}\Bigg) }$

Cosec 2A = Cosec$\mathsf {\Bigg( \frac{3\pi}{4} - A\Bigg) }$

2A = $\mathsf {\frac{3\pi}{4} - A}$

3A = $\mathsf { \frac{3\pi}{4}}$

A = $\mathsf {\frac{\pi}{4} }$

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