Question

If tanA=4/5,calculate sinA and cosA

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Answer 1

Answer:

Thanks for A2A

If cosA=4/5 then

sinA=√(1−cos2A) {Because sin^2A+cos^2A=1}

=>sinA=√(1−16/25)

=>sinA=√(9/25)

=>sinA=3/5

Now as tanA=sinA/cosA

=>tanA=3/5×5/4 {Because 1/cosA=5/4}

=>tanA=3/4

hope it's help you ✌️