Question

if sin theta =3/5 and cos theta =4/5 , find the values of sin 30°+cos60°​

Answer 1

The values of $\sin 30+\cos60$ is equal to 1.

Step-by-step explanation:

We have,

$\sin \theta =\dfrac{3}{5}$ and $\cos \theta =\dfrac{4}{5}$

To find, the values of $\sin 30+\cos60=?$

∴ $\sin 30+\cos60$

$=\sin 30+\cos (90-30)$

Using the trigonometric identity,

$\sin A=\cos (90-A)$

$=\sin 30+\sin 30$

$=2\sin 30$

$=2\times \dfrac{1}{2}$

[ ∵ $\sin 30=\dfrac{1}{2}$

= 1

Thus, the values of $\sin 30+\cos60$ is equal to 1.