Question

sin theta=cos(theta-45)
​

Answer 1

Answer:

$\sin( \alpha ) = \cos( \alpha - 45)$

$\cos(90 - \alpha ) = \cos( \alpha - 45)$

$90 - \alpha = \alpha - 45$

$2 \alpha = 90 + 45 = 135$

$\alpha = \frac{135}{2}$

Answer 2

$\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

$sin \theta = cos(\theta - 45)$

$\huge\bigstar\huge\tt\underline\red{ᴀɴsᴡᴇʀ }\bigstar$

$sin \theta = cos(\theta - 45)$

Here we use this formula:-

$cos(90 - \theta) = cos( \theta - 45)$

$90 - \theta= \theta - 45$

$2\theta= - 45 - 90$

$\theta = - \frac{135}{2} = 67.5$

\theta=67.5° is your answer

HOPE IT HELPS YOU..

_____________________

Thankyou:)