Question

Your friend claims that it is possible to draw a right triangle where the cosine of either angle (theta) is exactly the same value. Is she correct?

A. Yes
B. No​

Answer 1

B. No

`Cos \ \theta\\eq Cos (90-\theta)\textdegree`

Explanation:

-A right angle triangle has two complimentary acute angles and one right angle.

-
`\theta` is usually one of the acute angles and is equivalent to 90º minus it's complimentary acute angle.

-Complimentary angles add up to 90º.

#For complimentary angles:

`Sin \ \theta=Cos \ (90-\theta)\textdegree\\\\Cos \ \theta=Sin(90-\theta)\textdegree\\\\\therefore Cos \ \theta\\eq Cos (90-\theta)\textdegree`

The two acute angles cannot have the same Cosine value.

Hence, she's not correct.