3 years ago

Help me out please this is due in 10 minutes

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

3 0

Answer:

yes no

Step-by-step explanation:

its wired try it or don't trust me sorry if yoi get it wrong, look for a pattern can be multiple things or opposite things

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The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, a

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Answer:

$\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}$

Step-by-step explanation:

The angle $\theta_1$ is located in Quadrant II.

$\sin(\theta_1)=\dfrac{1}{4}$

From trigonometry, we know that:

$\sin(\theta)=\dfrac{Opposite}{Hypotenuse}\\$Therefore:\\Opposite=1\\Hypotenuse=4\\Using Pythagorean theorem:\\Hypotenuse^2=Opposite^2+Adjacent^2\\4^2=1^2+Adjacent^2\\Adjacent^2=16-1\\Adjacent^2=15\\Adjacent=\sqrt{15}$

Now, in Quadrant II,

The x-axis is negative
The y-axis is positive

Therefore, the Adjacent angle to $\theta_1 =-\sqrt{15}$

Therefore:

$\cos(\theta_1)=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-\sqrt{15}}{4}\\\\\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}$

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