Question

sinA+cosA÷sinA-cosA=3 Find sin⁴A​

Answer 1

Answer:

16/25

Step-by-step explanation:

(sin A + cos A ) ÷ ( sin A-cos A ) = 3

Divide by cos A in denominator and numerator

(tan A + 1 ) ÷ ( tan A -1 ) = 3

by solving, tan A = 2 ⇒ tan²A = 4

sec²A - tan²A =1

sec²A = 5 ⇒ cos² A= 1/5

sin²A = 4/5

sin⁴ A = 16 /25

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