What is the exact value of sin 120?

What is the exact value of sin 120?

√3/2
Sin 120 degrees is the value of sine trigonometric function for an angle equal to 120 degrees. The value of sin 120° is √3/2 or 0.866 (approx).

What is the exact value of sin330?

-0.5
The exact value of sin 330 degrees is -0.5.

What is the value of cos 120 in fraction?

Answer: The value of cos 120 degrees is -1/2.

How do you solve sec30?

Trigonometry Examples The exact value of sec(30°) sec ( 30 ° ) is 2√3 . Multiply 2√3 by √3√3 .

What is the exact value of cot 45?

The exact value of cot(45°) cot ( 45 ° ) is 1 .

How do you find sin330 without a calculator?

The easiest way to go about doing this (with the least work possible) is to subtract a sin value from 360 degrees (as to not have to switch the trigonometric ratio being used). 360 – 330 = 30, so we are subtracting 30 degrees from 360 to get the sin inverse, 330.

How do you find the value of cos 120?

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.

How do you simplify COS 120?

We know, using trig identities, we can write cos 120° as -1/√(1 + tan²(120°)).

What is the value of sin 120?

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. Here, the values of other important trigonometric angles for different ratios are provided here for the reference.

What is the value of sin(90+x) equal to?

If it is sin (90+x), the answer would be equal to cos x that is whenever it is 90+ something, sin will convert to cos and the sign of the outcoming result equals to the sign of sin x in that quadrant.Same applies to any other trig function. For example sin (90+x)=+cos x (since sin x is positive in second quadrant.)

How do you find Sin 120 on the Cartesian plane?

We know that the cartesian plane is divided into four quadrants. The value 120 degrees falls on the second quadrant. As the value of sine function in the second quadrant takes the positive value, the value of sin 120 degrees should be a positive value. By using the unit circle, the value of sin 120 can be calculated.

What are the quadrants in which sin and cosine are positive?

In second quadrant only Sin & Cosine will be positive while other trigonometric values will be negative. In third quadrant only Tan & Cot will remain positive kepping other trigonometric values negative. In forth quadrant only Cos &. Sec will be positive kepping all other quantities negative.

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