passpadi

2011

Mathematics

JAMB

In a right angled triangle, if tan θ = 3/4. What is cosθ - sinθ?

A.

2/3

B.

3/5

C.

1/5

D.

4/5

Correct Answer: 1/5

Explanation

tanθ = 3/4 from Pythagoras tippet, the hypotenus is T i.e. 3, 4, 5. then sin θ = 3/5 and cosθ = 4/5 cosθ - sinθ 4/5 - 3/5 = 1/5

tanθ = 3/4 from Pythagoras tippet, the hypotenus is T i.e. 3, 4, 5. then sin θ = 3/5 and cosθ = 4/5 cosθ - sinθ 4/5 - 3/5 = 1/5
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