Question

if 2 sin 40 cos 10 = sin A + cos B then find value of A and B​

Answer 1

Here you go Bro/sis.

.

.

Pls mark this as brainliest.

.

.

Thank you.

Answer 2

The value of A = 50° & B = 60°

Given :

2 sin 40° . cos 10° = sin A + cos B

To find :

The value A and B

Solution :

Step 1 of 2 :

Write down the given equation

The given equation is

2 sin 40° . cos 10° = sin A + cos B

Step 2 of 2 :

Find the value of A and B

We know that

2sin A . cos B = sin (A + B ) + sin ( A - B )

Thus we get

2 sin 40° . cos 10° = sin A + cos B

⇒ sin A + cos B = 2 sin 40° . cos 10°

⇒ sin A + cos B = sin ( 40° + 10°) + sin ( 40° - 10°)

⇒ sin A + cos B = sin 50° + sin 30°

⇒ sin A + cos B = sin 50° + cos 60°

The value of A = 50° & B = 60°

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ if x cos a=8 and 15cosec a=8sec a then the value of x is

a) 20 b)16 c)17 d)13

https://brainly.in/question/46325503

2. 7 cos 30° + 5 tan 30° + 6 cot 60° is

https://brainly.in/question/46167849

3. 1+ sin2α = 3 sinα cosα, then values of cot α are

https://brainly.in/question/46265791