Question

Cosθ =2/3, for some angle having measure θ.State whether the given statement is true or false. Justify your answer.

Answer 1

$cosθ = \frac{2}{3}$ can't be greater than one hence this statement is true.

Because the minimum and maximum value of cosθ is -1 and 1 . But 2/3 is

less than 1 and greater than -1, hence this statement support the

argument,hence true.

Or in the other point of view if ,

$cosθ= \frac{2}{3}$ then $secθ = \frac{3}{2}$ which is

greater than one.We, know the minimum value of secθ is one.

which proves above statement is true.

Answer 2

Hi ,

Sin and cos of any angle lie between

- 1 and + 1 .

Here ,. it is given that

cos theta = 2/3 ≈ 0.6

-1 < 2/3 < 1

Therefore ,

Given statement is True .

I hope this helps you.

: )