Question

What is the trigonometric ratio for cosC ?

Enter your answer, as a simplified fraction, in the boxes.

Answer 1

Based on the right-angled triangle shown above, the trigonometric ratio for cosC is 15/17.

In order to determine the trigonometric ratio for cosC, we would have to apply the basic cosine trigonometric function because the given side lengths represent the adjacent side (BC) and hypotenuse (AC) of a right-angled triangle;

cos(θ) = Adj/Hyp

Where:

• Adj represent the adjacent side of a right-angled triangle.
• Hyp represent the hypotenuse of a right-angled triangle.
• θ represent the angle.

By applying the cosine trigonometric function ratio to right-angled triangle ABC, we have the following:

cosC = adjacent side/hypotenuse

cosC = BC/AC

cosC = 45/51

cosC = 15/17.

Answer 2

`CosC=0.882`

Explanation:

From the figure, it is given that ABC is a right angled triangle such that AB=24, BC=45 and AC=51.

Now, as we know that the value of CosC is given as:

`CosC=(Base)/(Hypotenuse)`

From the figure, the value of Base is =BC=45 and hypotenuse is=AC=51, therefore:

`CosC=(BC)/(AC)`

`CosC=(45)/(51)`

`CosC=0.882`

Thus, the value of CosC is 0.882.