Question

if sin A = cos B prove that A+B=90°​

Answer 1

Answer:

Step-by-step explanation:

by complitmentary angles formula

sinA=cosB=sin(90-B)

=>A=90-B

=>A+B=90

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Answer 2

Answer:

sinA = cosB

=> cos(90°-A) = cosB {sinA=cos(90°-A)}

=> 90°-A = B

=> A+B=90°