Question

Prove that cos A+sin A/
cos A-sin A=
tan(45°-A)

Answer 1

Answer:

Step-by-step explanation:

LHS = (cos A+sin A)/ (cos A-sin A)

divide by cosA in numerator and denominator

= (1 + tan A) / (1 - tan A)

= (tan 45° + tan A) / (1 - tan 45°tan A)

= tan(45° +  A)