Question

If cos theta=-2/3, which of the following are possible?

Answer 1

The answer to your question are A and D

Explanation:

If cos Ф = -2/3 means that

adjacent side = -2 and hypotenuse = 3

Opposite side =
`\sqrt{3^(2) - (-2)^(2)}` =
`√(5)`

With this information, this angle can be in the second and in the third quadrangle.

sin Ф can be
`√(5)/3` or sin Ф =
`(- √(5))/(3)`

tan Ф
`-(√(5))/(2)` or tan Ф =
`(√(5))/(2)`

csc Ф =
`(3)/(√(5))` or csc Ф =
`(-3)/(√(5))`