Question

Q.) Sin(A+B)= root3/2
Sin(A-B)=1/root2
To find: a and b
pls give the answer step by step ​

Answer 1

Answer:

A= 105/2 and B = 15/2

Step-by-step explanation:

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Answer 2

Given:

• sin (A + B) = √3 ÷ 2
• sin (A - B) = 1 ÷ √2

To find:

Value of A and B = ?

Solution:

Consider the first given equation.

sin (A + B) = √3/2

⇒ sin (A + B) = sin 60°

⇒ (A + B) = 60° ----- [Equation ➊]

Now, consider the second given equation.

sin (A - B) = 1/√2

⇒ sin (A - B) = sin 45°

⇒ (A - B) = 45° ----- [Equation ➋]

Adding Equation 1 and 2,

A + B + A - B = 60° + 45°

→ 2 A = 105°

→ A = 105° ÷ 2

→ A = 52.5°

Substitute this value of A in Equation 1 to find out the value of x.

A + B = 60°

→ 52.5 + B = 60°

→ B = 7.5°

Therefore,

• A = 52.5°
• B = 7.5°