Question

2 sin 50°. cos 70º = sin A-sin B. Find A and B.​

Answer 1

Answer:

Follow the above method. Read the set of formulae carefully while doing trigonometry.

Answer 2

The value of A = 120° & B = 20°

Given :

2sin 50° . cos 70° = sin A - sin B

To find :

The value A and B

Solution :

Step 1 of 2 :

Write down the given equation

The given equation is

2sin 50° . cos 70° = sin A - sin 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

2sin 50° . cos 70° = sin A - sin B

⇒ sin A - sin B = 2sin 50° . cos 70°

⇒ sin A - sin B = sin ( 50° + 70°) + sin ( 50° - 70°)

⇒ sin A - sin B = sin 120° + sin ( -20°)

⇒ sin A - sin B = sin 120° - sin 20°

The value of A = 120° & B = 20°

━━━━━━━━━━━━━━━━

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