Question

cos 9 theta = sin theta find value tan 5 theta

Answer 1

Answer:

Step-by-step explanation: hope this helps you

Answer 2

Answer:

$\red {Value \: of \: 5\theta} =\green {45\degree }$

Step-by-step explanation:

$\red {cos9\theta = sin\theta }$

$\implies Cos9\theta = cos ( 90- \theta)$

$\boxed {\pink {Since,\: sin\theta = cos (90-\theta)}}$

$\implies 9\theta = 90 - \theta$

$\implies 9\theta + \theta = 90\degree$

$\implies 10\theta = 90$

$\implies \theta = \frac{90}{10}$

$\green { \theta = 9}$

$Now, \red {Value \: of \: 5\theta} \\= 5\times 9\\=\green {45\degree }$

Therefore.,

$\red {Value \: of \: 5\theta} =\green {45\degree }$

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