Question

If sin theta = cos theta , find the value of theta , find the value of n

Answer 1

sin Ф = cos Ф
sinФ/cosФ = 1
tanФ = 1
tanФ = tan 45°
Ф = 45°

Answer 2

Answer:

$\theta = 45\degree$

Step-by-step explanation:

$sin \theta = cos\theta$

$\implies sin\theta = sin (90 - \theta)$

/* We know that ,

Sin(90-A) = cosA */

$\implies \theta = 90 - \theta$

$\implies \theta + \theta = 90$

$\implies 2\theta = 90\degree$

$\implies \theta = \frac{90}{2}$

$\implies \theta = 45\degree$

Therefore,

$\theta = 45\degree$

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