Question

If sin (α+36)= cosα. Find the value of α

Answer 1

hey mate

here is your answer

$sin( \alpha + 36) = cos \alpha \\ \sin( \alpha + 36) = \sin(90 - \alpha ) \\ \alpha + 36 = 90 - \alpha \\ 2 \alpha = 54 \\ \alpha = 27$

hope it helps you

Answer 2

$\huge\tt\blue{SolUtion:-}$

$sin( \alpha + 36) = cos\alpha \\ \\ \sf\implies\:</p><p>sin(\alpha + 36) = sin(90 - \alpha) \\ \\ \sf\implies\:</p><p>\alpha + 36 = 90 - \alpha \\ \\ \sf\implies\: \alpha + \alpha = 90 - 36 \\ \\\sf\implies\: 2\alpha = 54 \\\\ \sf\implies\: \alpha = \frac{54}{2} \\ \\\sf\implies\: \alpha = 27$