Question

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

Answer 1

Answer:

The correct option is B) $sin\theta=\frac{\sqrt{5}}{3}$ and $tan\theta=\frac{\sqrt{5}}{2}$

Step-by-step explanation:

given $cos\theta=-\frac{2}{3}$

Since, $cos\theta=\frac{base}{hypoteneous}$

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, $sin\theta=\frac{prependicular}{hypoteneous}$

$sin\theta=\frac{\sqrt{5}}{3}$

Since, $tan\theta=\frac{prependicular}{base}$

$tan\theta=\frac{\sqrt{5}}{2}$

Hence, the correct option is B) $sin\theta=\frac{\sqrt{5}}{3}$ and $tan\theta=\frac{\sqrt{5}}{2}$

Answer 2

Answer: a and d

Step-by-step explanation:

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