Question

2) sin theta = 5/12 find cos theta .​

Answer 1

Answer:

$\frac{119}{144} \: \: is \: the \: required \: answer$

Step-by-step explanation:

Sinθ = 5/ 12 ...(Given)

We know that,

Sin²θ+Cos²θ = 1 ...(Identity)

Therefore,

Substituting the values,

$( { \frac{5}{12} })^{2} + \cos^{2} θ = 1$

$\frac{25}{144} + { \cos}^{2} θ = 1$

$\cos^{2} θ = 1 - \frac{25}{144}$

$\cos^{2} θ = \frac{144 - 25}{144}$

$\cos^{2} θ = \frac{119}{144}$