How do you find the ratio of sine cosine and tangent?

How do you find the ratio of sine and cosine?

Video quote: So for example the sine of let's say angle a here well the sine is a ratio of the opposite over the hypotenuse. So it would be the length of this side right here the opposite.

How do you find the ratio in trigonometry?

Video quote: Now you need to know which trigonometric ratio we need to use is it going to be tangent sine or cosine. X is opposite to the 40 degree angle. And 12 represents the hypotenuse. So which one is

How do you find the ratio of a tangent?

The ratio can be set up as the mathematical statement: tangent theta = opposite/adjacent. The tangent ratio is a very helpful tool whenever the length of a side of a triangle or the size of an angle is needed.

What is the ratio for tangent of theta?

tan ⁡ θ = sin ⁡ θ cos ⁡ θ , csc ⁡ θ = 1 sin ⁡ θ , sec ⁡ θ = 1 cos ⁡ θ , cot ⁡ θ = cos ⁡ θ sin ⁡ θ .

How do you find the sine ratio on a calculator?

Video quote: So the 5 and the X are opposite. And hypotenuse so that's dealing with sine. So what we know is that the sine of 22 degrees must equal 5 over X because sine is always opposite over hypotenuse.

How do you find sine from cosine?

Therefore, if one angle is 90 degrees we can figure out Sin Theta = Cos (90 – Theta) and Cos Theta = Sin (90 – Theta).

How do you find sin cos and tan without a calculator?

Video quote: And you drag your pencil opposite of the angle and that means that we end up at a and the hypotenuse is always the side that's opposite the 90-degree angle. So that means that it is C.

How do you calculate sine without a calculator?

Video quote: And that's going to be the sine of 60 degrees over the cosine of 60 degrees well what's the sine of 60 degrees square root of 3 or 2 divided by the cosine of 60 which is 1/2.

How do you find sin 120 without a calculator?

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 value of sin30?

The value of sin 30 degrees is 0.5. Sin 30 is also written as sin π/6, in radians.

What is the exact value of sin120?

√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).

Is sin 120 the same as sin 30?

Video quote: So sine of 120 degree is equal to cosine of 30 degree.

How do you find COS 240 without a calculator?

The value of cos 240 degrees can be calculated by constructing an angle of 240° 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 240° is equal to the x-coordinate (-0.5). ∴ cos 240° = -0.5.

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.

How do you find sin 210 without a calculator?

Video quote: Degree here X is 30 degree so sine of 210. Degree is equal to minus sine of 30 degree. We know the value of sine of 30 degree is equal to 1/2. So sine of 210. Degree is equal to minus 1/2.

How do you find COS 210?

The value of cos 210 degrees can be calculated by constructing an angle of 210° with the x-axis, and then finding the coordinates of the corresponding point (-0.866, -0.5) on the unit circle. The value of cos 210° is equal to the x-coordinate (-0.866). ∴ cos 210° = -0.866.

How do you find the exact value of tan 210?

Hence the value of tan 210° = y/x = 0.5774 (approx).

What is the value of cosine at 315?

0.7071

The value of cos 315° is equal to the x-coordinate (0.7071). ∴ cos 315° = 0.7071.

What is the value of cosine at 270?

0

Cos 270 degrees is the value of cosine trigonometric function for an angle equal to 270 degrees. The value of cos 270° is 0.

What is the value of cosine at 135?

-0.7071

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

How do you find COS 330 without a calculator?

For cos 330 degrees, the angle 330° lies between 270° and 360° (Fourth Quadrant). Since cosine function is positive in the fourth quadrant, thus cos 330° value = √3/2 or 0.8660254. . .

What is the exact value of cos330?

Trigonometric Function Values of Special Angles

What is sec330?

Sec 330 degrees is the value of secant trigonometric function for an angle equal to 330 degrees. The value of sec 330° is 2/√3 or 1.1547 (approx).