Question

8. If A = B = 45, show that :
(i) sin (A - B) = sin A cos B - cos A sin B.​

Answer 1

Step-by-step explanation:

Given:

A = B = 45

To find:-

show that :

show that : sin (A - B) = sin A cos B - cos A sin B.

Solution:-

A=45°

B=45°

LHS=>

Sin(A-B)

=Sin(45°-45°)

=Sin0°

LHS=0.....(1)

RHS:-

=>sin A cos B - cos A sin B.

=>sin45°Cos45°-Cos45°Sin45°

=>(1/√2)(1/√2)-(1/√2)(1/√2)

=>1/2-1/2

=>(1-1)/2

=>0/2

RHS=0......(2)

From (1)&(2)

LHS=RHS

Therefore,

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