Question

Use the given information to determine the exact trigonometric value.
(in the image attached)

Answer 1

c

Explanation:

just did it

Answer 2

OPTION B:
`$ (-2√(5))/(5) $`

Explanation:

Given
`$ cot \theta = -(√(5))/(2) $`

We know that,
`$ (1)/(cot \theta) = tan \theta $`

`$ \implies tan \theta = (1)/(-(√(5))/(2)) $`

`$ = -(2)/(√(5)) $`

Multiplying and dividing by
`$ √(5) $`, we get:

`$ tan \theta = - (2 √(5))/(√(5)* √(5))} $`

`$ \implies tan \theta = -(2√(5))/(5) $`

Hence, OPTION B is the answer.