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3 years ago

Angle θ is in standard position. If tanθ < 0 and cosθ = -4/5 , find sinθ.

1 answer:

8 0

Use the formula,
sin^2 x + cos^2 x =1

sin^2 x + (-4/5)^2 = 1
sin^2 x + 16/25 = 1

sin^2 x = 1-16/25

sin^2 x = (25-16)/25
sin^2 x = 9/25
sin x = +3/5 or -3/5

since both tan and cos are negative, sine will be positive (Quadrant 2).

sin x = 3/5.

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Step-by-step explanation:

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3 years ago

Find x and y, given that line WS and line VT are parallel. Show all work!

bulgar [2K]

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Checking the diagram given, we see that:

VT=y, WS=22, VU=8, ST=x-2

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Thus, substituting the required values in (Equation 1) we get:

$\frac{y}{22}=\frac{8}{20}=\frac{5}{x+3}$

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In a similar manner, to find the value of x we can use the last two ratios:

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After cross multiplication we get:

$5\times 20=8(x+3)$

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Thus, $x=12.5-3=9.5$

Therefore, the required answer is:

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