# How do you find sin 150 without a calculator?

## How do you find sin 150 without a calculator?

The value of sin 150 degrees is 0.5….We can use trigonometric identities to represent sin 150° as,

1. sin(180° – 150°) = sin 30°
2. -sin(180° + 150°) = -sin 330°
3. cos(90° – 150°) = cos(-60°)
4. -cos(90° + 150°) = -cos 240°

What is the value of sine at 150?

Solution. The value of sin 30 degrees and sin 150 degrees are equal. Both are equal because the reference angle for 150 is equal to 30 for the triangle formed in the unit circle. The reference angle is formed when the perpendicular is dropped from the unit circle to the x-axis, which forms a right triangle.

Does sin30 equal sin 150?

The value of sin 30 degrees and sin 150 degrees are equal. Both are equal because the reference angle for 150 is equal to 30 for the triangle formed in the unit circle. The reference angle is formed when the perpendicular is dropped from the unit circle to the x-axis, which forms a right triangle.

### How do you find the trigonometric function of 150 degrees?

1. sin(150)=sin(180−30)=sin30=12.
2. csc(150)=1sin(150)=2.
3. cos(150)=–cos(30)=−√32.
4. sec(150)=1cos(150)=−2√3.
5. tan(150)=−tan(30)=−√33.
6. cot(150)=1tan(150)=−√3.

How do you find sin 120 without a calculator?

By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. We know that the value of cos 30 degrees is √3/2. Therefore, sin 120° = √3/2.

Why is sin 150 a half?

Going from the origin to the top, you’re half way up on the left side, then you’re half way down on the right side. sine 150 = opposite side over hypotenuse = 1/2 over 1 = 1/2.

#### How do you find tan 150?

For tan 150 degrees, the angle 150° lies between 90° and 180° (Second Quadrant). Since tangent function is negative in the second quadrant, thus tan 150° value = -1/√3 or -0.5773502. . .

Which of the trigonometric ratios are positive for 150?

Answer. Answer: Trigonometric ratios of angles in the fourth quadrant, between 270° and 360° The cosine of an angle between 270° and 360° is positive, while sine and tangent are negative.

What is COS 150 without calculator?

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

## How do you find sin 135 without a calculator?

The value of sin 135° is equal to the y-coordinate (0.7071). ∴ sin 135° = 0.7071.

What are the sine and cosine of − 150?

How do you evaluate tan 150 without a calculator?

### What is the cot of 150 degrees?

-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 find Sin 150 using trigonometry?

Explanation: You may find sin 150 by 2 ways: First way. Trig Table gives –> sin 150 deg, or sin( 5π 6), = 1/2. Second way: by the trig unit circle. sin( 5π 6) = sin( π 6) = 1 2.

What is the value of sin 150?

Since sine function is positive in the second quadrant, thus sin 150° value = 1/2 or 0.5 ⇒ sin 150° = sin 510° = sin 870°, and so on. Note: Since, sine is an odd function, the value of sin (-150°) = -sin (150°).

#### What is sin 150 degrees in radians?

Sin 150 degrees in radians is written as sin (150° × π/180°), i.e., sin (5π/6) or sin (2.617993. . .). In this article, we will discuss the methods to find the value of sin 150 degrees with examples. Sin 150° in radians: sin (5π/6) or sin (2.6179938 . . .) What is the Value of Sin 150 Degrees? The value of sin 150 degrees in decimal is 0.5.