Sin Cos Tan Values In trigonometry, sin cos and tan values are the primary functions

 Sin Cos Tan Values

In trigonometry, sin cos and tan values are the primary functions we consider while solving trigonometric problems. These trigonometry values are used to measure the angles and sides of a right-angle triangle. Apart from sine, cosine and tangent values, the other three major values are cotangent, secant and cosecant.

When we find sin cos and tan values for a triangle, we usually consider these angles: 0°, 30°, 45°, 60° and 90°. It is easy to memorise the values for these certain angles. The trigonometric values are about the knowledge of standard angles for a given triangle as per the trigonometric ratios (sine, cosine, tangent, cotangent, secant and cosecant).

Sin Cos Tan Formula

The three ratios, i.e. sine, cosine and tangent have their individual formulas. Suppose, ABC is a right triangle, right-angled at B, as shown in the figure below:

sin cos tan values

Now as per sine, cosine and tangent formulas, we have here:

Sine θ = Opposite side/Hypotenuse = BC/AC

Cos θ = Adjacent side/Hypotenuse = AB/AC

Tan θ = Opposite side/Adjacent side = BC/AB

We can see clearly from the above formulas, that:

Tan θ = sin θ/cos θ

Now, the formulas for other trigonometry ratios are:

Cot θ = 1/tan θ = Adjacent side/ Side opposite = AB/BC

Sec θ = 1/Cos θ = Hypotenuse / Adjacent side = AC / AB

Cosec θ = 1/Sin θ = Hypotenuse / Side opposite = AC / BC

The other side of representation of trigonometric values formulas are:

Tan θ = sin θ/cos θ

Cot θ = cos θ/sin θ

Sin θ = tan θ/sec θ

Cos θ = sin θ/tan θ

Sec θ = tan θ/sin θ

Cosec θ = sec θ/tan θ