Math, asked by giripranab321, 6 months ago

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

Answers

Answered by rohithreddy2001
1

Step-by-step explanation:

given A = B = 45°

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

sin(45-45)=sin45cos45-cos45sin45

sin0=1/√2(1/√2)-1/√2(1/√2)

0=1/2-1/2

0=0

LHS=RHS

Hence proved

please mark it as brainliest.

Answered by varshithkasu
1

Answer:

A-B=45-45=0

SINA=SINB=SIN45=1/√2

COSA=COSB=COS45=1/√2

SINA.COSB=1/√2*1/√2=1/2

SINB.COSA=1/√2*1/√2=1/2

THEREFORE,SINA.COSB-COSA.SINA=1/2-1/2=0

SIN(A-B)=SIN(0)=0

AS LHS=RHS HENCE PROVED

Step-by-step explanation:

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