Find sin and tan (picture provided)

The correct option is

Option d. Sin θ = -√65/9 and Tan θ  =  -√65/4

Step-by-step explanation:

Points to remeber

Sin θ = Opposit side/ Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ= Opposite side /Adjacent side

To find opposite side

It is given that,

Cos θ = -4/9 = Adjacent side/Hypotenuse

We can find opposite  side of angle θ

opposit side ² = Hypotenuse² - adjacent side² = 9² - 4²

    = 81 - 16 = 65

Opposite side = √65

To find sinθ and tanθ

Sin θ = Opposit side/ Hypotenuse = -√65/9

Tan θ = Opposite side /Adjacent side = -√65/4

Therefore the correct option is

Option d. Sin θ = -√65/9 and Tan θ  =  -√65/4

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