Question

If cos theta=-2/3, which of the following are possible (Help asap)

Answer 1

Answer: a and d

Explanation:

I made a sacrifice for you

Answer 2

The correct option is B)
`sin\theta=(√(5))/(3)` and
`tan\theta=(√(5))/(2)`

Explanation:

given
`cos\theta=-(2)/(3)`

Since,
`cos\theta=(base)/(hypoteneous)`

it means prependicular of right angled triangle can be calculated by pythagoras theorem as:

base² + prependicular² = hypoteneous²

2² + prependicular² = 3²

4 + prependicular² = 9

prependicular² = 9 - 4

prependicular² = 5

prependicular = √5

Since,
`sin\theta=(prependicular)/(hypoteneous)`

`sin\theta=(√(5))/(3)`

Since,
`tan\theta=(prependicular)/(base)`

`tan\theta=(√(5))/(2)`

Hence, the correct option is B)
`sin\theta=(√(5))/(3)` and
`tan\theta=(√(5))/(2)`