Question

If 8 cot theta=15, then cos theta is

Answer 1

Step-by-step explanation:

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Answer 2

The value of cosθ = $\frac{15}{17}$.

Given,

8 cotθ = 15.

To Find,

The value of cosθ.

Solution,

If 8 cotθ = 15,

then, cotθ =$\frac{15}{8}$.

cot θ = $\frac{Base}{Perpendicular}$.

Base = 15, Perpendicular = 8.

So, In a right-angled triangle

According to Pythagoras theorem,

Hypotenuse (H)²= Perpendicular (P)² + Base (B)²

H² = (8)² + (15)².

H² = 64 + 225.

H² = 289.

H = 17.

Now,

cosθ = $\frac{Base}{Hypotenuse}$

cosθ = $\frac{15}{17}$.

The value of cosθ = $\frac{15}{17}$.

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