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3 years ago

Question18 (5pt)!!!!!!!!!!

Mathematics

1 answer:

Kaylis [27]3 years ago

7 0

sin θ = $$\frac{-\sqrt{33} }{7}$

tan θ = $$\frac{-\sqrt{33}}{4}$

Step-by-step explanation:

It is given that, cos θ = $$\frac{4}{7}$ then csc θ < 0, which implies that the θ is in the quadrant IV. Since cos θ is $$\frac{adj}{hyp}$ , we need to find the opposite side x.

Using the Pythogarus theorem, we can find the sin and the tan θ as,

7² = 4² + x²

x² = 7² - 4²

x² = 49 - 16

x² = 33

Taking sqrt on both sides, we will get,

x = $\sqrt{33}$

Using the value of x, we can write the sine and tan ratio as,

sin θ = $$\frac{opp}{hyp}$ = $$\frac{-\sqrt{33} }{7}$

tan θ = $$\frac{opp}{adj}$ = $$\frac{-\sqrt{33}}{4}$

Thus we have obtained the values of sin θ and tan θ

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