Question

There are values of t so that cos t=5/3 holds

true or false

Answer 1

ANSWER


`\boxed {false }`


Step-by-step explanation

The given trigonometric equation is


`\cos(t) = (5)/(3)`

The range of the cosine function


`f(t) = \cos(t)`
is


`- 1 \leqslant t \leqslant 1`

But,


`\cos(t)= (5)/(3) > 1`

Therefore there is no value of t that will make


`\cos(t) = (5)/(3)`
hold.

The correct answer is False