Question

Find the value of (α+β), if sin α = 1/2 and cos β = 1/2.​

Answer 1

QUESTION:

Find the value of (α+β), if sin α = 1/2 and cos β = 1/2.

TO FIND:

$\alpha + \beta$

SOLUTION:

$\sin( \alpha ) = \frac{1}{2}$

$\sin( \alpha ) = \sin(30 \: degree)$

$\alpha = 30 \: degree$

$\cos( \alpha ) = \frac{1}{2}$

$\cos( \beta ) = \cos( \: 60 \: degree)$

$\beta = 60 \: degree$

NOW,

$( \alpha + \beta ) = 30 + 60$

$( \alpha + \beta ) = 90 \: degree$

Answer 2

Step-by-step explanation:

Sin Alpha = 1/2

or, sin Alpha = sin 30⁰

or, Alpha = 30.......(1)

cos beta = 1/2

cos beta = cos 60⁰

beta = 60.....(2)

(1) + (2) gives...

Alpha + beta = 30 + 60 = 90⁰ Ans