Question

What is the trigonometric ratio for cosC ?

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

Answer 1

Answer:

$CosC=0.882$

Step-by-step 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:

$CosC=\frac{Base}{Hypotenuse}$

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

$CosC=\frac{BC}{AC}$

$CosC=\frac{45}{51}$

$CosC=0.882$

Thus, the value of CosC is 0.882.

Answer 2

The trigonometric function gives the ratio of different sides of a right-angle triangle. The measurement of ∠C is 28.072°.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

$\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}$

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As it is given that for angle c, the base is BC which is equal to 45 units, while the hypotenuse of the triangle is side AC which is equal to 51 units. Therefore, the Cos C can be written as:

$\rm Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Cos(\angle C) = \dfrac{45}{51}\\\\\\Cos C = 0.8823\\\\\\\angle C = 28.072^o$

Hence, the measurement of ∠C is 28.072°.

Learn more about Trigonometric functions:

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