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Agata [3.3K]
2 years ago
6

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

Mathematics
2 answers:
alexgriva [62]2 years ago
6 0

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}

Minchanka [31]2 years ago
3 0

Answer: a and d

Step-by-step explanation:

I made a sacrifice for you

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