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user100 [1]
3 years ago
8

If θ is an angle in standard position that passes through (-3, 4), find sin2θ.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

Correct answer: sin 2Θ = - 24/25

Step-by-step explanation:

If under the standard position you think that the first arm (side) belongs to the positive direction of the x axis and the second one passes through a given point then it is:

if we form a right triangle with sides 3 and 4 then the hypotenuse is 5.

sin Θ = 4/5 and cos Θ = - 3/5

we know that the formula for double the value of the angle is:

sin 2Θ = 2 sinΘ cosΘ = 2 · 4/5 · ( - 3/5) = - 24/25

sin 2Θ = - 24/25

God is with you!!!

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3 years ago
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creativ13 [48]
<span>
3 1/2  = 7/2

7/2  hours and used 1/3 tank of gas
</span><span>? hours and used 1/2 tank of gas

1/2 * 7/2
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= 7/4
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answer: 5 1/4 hours </span><span>Tanya could drive using​ 1/2 ​tank of gas</span><span>

</span>
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