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cos Θ =4/5 and sin Θ<0. Identify the quadrant of the terminal side of Θ and find sin Θ.

Helpppp 75 points and brainliest for good answers only cos Θ 45 and sin Θlt0 Identify the quadrant of the terminal side of Θ and find sin Θ class=

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devishri1977

option B

Cos theta is positive and sin theta is negative in quadrant IV

[tex]Cos \ \theta =\dfrac{4}{5}=\dfrac{adjacent \ side}{hypotenuse}[/tex]

We have to find opposite side using Pythagorean theorem.

x² + 4² = 5²

x² + 16 = 25

       x² = 25- 16

       x² = 9

       [tex]\sf x =\sqrt{9}\\\\x = 3[/tex]

[tex]\sf \ sin \ \theta =\dfrac{opposite \ side}{hypotenuse}\\Sin \ \theta =\dfrac{-3}{5}[/tex]