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How do you find sin 150 on the unit circle?

How do you find sin 150 on the unit circle?

The value of sin 150 degrees can be calculated by constructing an angle of 150° with the x-axis, and then finding the coordinates of the corresponding point (-0.866, 0.5) on the unit circle. The value of sin 150° is equal to the y-coordinate (0.5). ∴ sin 150° = 0.5.

How can we find sin 150 and COS 150 )?

Answer: The exact value of cos (150∘) is −√3/2 and sin (150∘) is 1/2.

What is the sine and cosine of 120 degrees?

Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. As given, sin (90° +30°) = cos 30° It means that sin 120° = cos 30° We know that the value of cos 30 degrees is √3/2. Therefore, sin 120° = √3/2.

What is the reference angle of sin 150?

30
Since the angle 150 degrees lies on the IInd quadrant, therefore the value of sin 150 is positive. The internal angle of a triangle is 180 – 150=30, which is the reference angle.

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How do you solve COS 120 degrees?

How to Find the Value of Cos 120 Degrees? The value of cos 120 degrees can be calculated by constructing an angle of 120° with the x-axis, and then finding the coordinates of the corresponding point (-0.5, 0.866) on the unit circle. The value of cos 120° is equal to the x-coordinate (-0.5). ∴ cos 120° = -0.5.

What is the exact value of cot 150?

-1.7321
Cot 150 degrees is the value of cotangent trigonometric function for an angle equal to 150 degrees. The value of cot 150° is -√3 or -1.7321 (approx).

How do you calculate tan 150?

We can find the value of tan(150) by converting it into simple terms. tan(150)=tan(180-30)=-cot(30)=-√3.

How do you find the reference angle of tan 150?

The easiest way to find the value of is to first convert the measure of the angle from radians to degrees as, Looking at a graph, a 150° angle lies in quadrant II, therefore the reference angle is θ’ = 180° – 150° = 30°.