Question

If 3cotA = 4, then what is the value of cos2A – sin2A?

Answer 1

Answer:

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Answer 2

Answer: 7/25

Step-by-step explanation:

cotA = 4/3

cotA = adjacent/opposite

sinA = oppsite/hypotenuse

cosA = adjacent/hypotenuse

hypotenuse^2 = base^2 + altitude^2

hypotenuse^2 = 3^2 + 4^2

hypotenuse^2 = 9 + 16

hypotenuse = √25

hypotenuse = 5

sinA = 3/5

cosA = 4/5

cos^2A - sin^2A = (4/5)^2 - (3/5)^2

= 16/25 - 9/25

= 7/25