Question

Cos x = sin 34° What is the value of x? Enter your answer in the box.

Answer 1

Answer:

x = 56 degrees.

Step-by-step explanation:

Use the identity:

sin x = cos (90 - x)

so sin 34 = cos (90 - 34) = cos 56.

Answer 2

$\bf \textit{Cofunction Identities} \\\\ sin\left(90^o-\theta\right)=cos(\theta) \qquad cos\left(90^o-\theta\right)=sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(x)=\stackrel{90-56}{sin(\stackrel{\downarrow }{34^o})}\implies cos(\stackrel{\downarrow }{x})=sin(90^o-\stackrel{\downarrow }{56^o})\implies cos(56^o)$