If sinθ = 7/25, find the values of cosθ and tanθ || Trigonometry sum || by SCIENTECHPLUS

 

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If sinθ = 7/25, find the values of cosθ & tanθ ?

Ans :  By using formula - sin²θ + cos²θ = 1

cos²θ = 1 - sin²θ

cos²θ = 1 - (7/25)²

cos²θ = 1 - (49/625)

By using L.C.M (Least Common Multiple)

cos²θ = (625/652) - (49/625)

cos²θ = (625-49)/625

cos²θ = 576/625

Here we get cos²θ but we want cosθ value, so therefore 

we want cos²θ to cosθ, for that this square on the cos²θ goes on the Right side of the = sign and become square root.

cosθ = √(576/625)

Therefore   cosθ = 24/25

But we have to also, find the tanθ by using formula tanθ = sinθ/cosθ

So in the given formula, put the value of sinθ and cosθ.

tanθ = (7/25)/(24/25)

So the value of tanθ = 7/24