Find the exact values of sintheta and tantheta when cos theta=2/5

Annabel Zamora

Annabel Zamora

Answered question

2023-03-24

Find the exact values of sintheta and tantheta when cos theta=2/5

Answer & Explanation

lonleylover89qo42

lonleylover89qo42

Beginner2023-03-25Added 4 answers

sin 2 θ + cos 2 θ = 1
tan θ = sin θ cos θ
cos θ = 2 5
sin θ = 1 - cos 2 θ = 1 - 4 25 = 21 25 = 21 5
tan θ = sin θ cos θ = 21 5 2 5 = 21 2

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