Sine Cosine Tangent Calculator

Calculates Sine Cosine and tangent of a triangle:

Opposite side:
Adjacent side :
Hypotenuse :
Sin theta :
cos theta :
Tan theta :

 

Sine Cosine Tangent Calculator is a free online tool that displays the solution of the trigonometric functions such as sine, cosine and tangent functions. BYJU’S online sine cosine tangent calculator tool performs the calculation faster and it displays the value of the sine, cosine and tangent function in a fraction of seconds.

How to Use the Sine Cosine Tangent Calculator? 

The procedure to use the sine cosine tangent calculator is as follows:

Step 1: Enter the value of the adjacent side and the opposite side of the right triangle in the input field

Step 2: Now click the button “Solve” to get the values of trigonometric functions

Step 3: Finally, the value of sine, cosine, and tangent function along with the side length of the hypotenuse will be displayed in the output field

What is Meant by Sine Cosine Tangent?

In trigonometry, the three most important trigonometric functions are sine, cosine and tangent functions. The reciprocal of these three basic functions are cosecant, secant and cotangent functions. The trigonometric functions are defined based on the angles and sides of the right triangle. With the help of these functions, the unknown sides or the angles of the right triangle can be determined easily. We know that three sides of the right triangle are:

  • Opposite side – The side opposite to the angle θ
  • Adjacent Side –  The side which forms the angle of interest, say θ
  • Hypotenuse – The side opposite to the right angle, and it should be the longest side of the triangle

Based on these sides, the trigonometric functions, such as sine, cosine and tangent is given by the formulas,

Sin θ = Opposite Side / Hypotenuse

Cos θ = Adjacent Side / Hypotenuse

Tan θ = Opposite Side / Adjacent Side

Solved Example on Sine Cosine Tangent

Example 1:

Determine the value of sin θ, cos θ and tan θ, whose opposite side, adjacent side, and the hypotenuse of the right triangle are 3 cm, 4 cm and 5 cm respectively.

Solution:

Given that,

Opposite side = 3 cm

Adjacent side = 4 cm

Hypotenuse = 5 cm

We know the formula to calculate the sin θ, cos θ and tan θ.

Now substitute the values in the formula, we get

Sin θ = Opposite Side / Hypotenuse

Sin θ = 3/ 5 = 0.6

Cos θ = Adjacent Side / Hypotenuse

Cos θ = 4/5 = 0.8

Tan θ = Opposite Side / Adjacent Side

Tan θ = 3/4 = 0.75

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