Top

Sine Cosine Tangent Calculator
Top
 There are three basic functions in trigonometry each of which is one side of a right-angled triangle divided by another. The inverse function to sin, cos and tan, which basically means 1 divided by that function. They are designated as sin/cos/tan -1. Sine Cosine Tangent calculator calculates the sine angle, cosine angle and tangent angle of a right-angled triangle, when opposite side and adjacent side are given.

## Steps for Sine Cosine Tangent Calculator

Step 1 :

Observe the value of opposite side, adjacent side and hypotenuse as a, b and c respectively.
If only a and b are given, then find the value of c by applying Pythagorean theorem c = $\sqrt{a^{2} + b^{2}}$

Step 2 :

Apply the formula: Sin θ = $\frac{a}{c}$

Step 3 :

Apply the formula: Cos θ = $\frac{b}{c}$

Step 4 :

Apply the formula: Tan θ = $\frac{a}{b}$

## Example Problems on Sine Cosine Tangent Calculator

1. ### Find the ratios sin θ, Cos θ and Tan θ of a right angle having opposite side, adjacent side and hypotenuse as 3cm , 4cm and 5cm respectively?

Step 1 :

Given that:
opposite side(a) = 3cm
hypotenuse(c) = 5cm

Step 2 :

Sin θ = $\frac{a}{c}$ = $\frac{3}{5}$ = 0.6

Step 3 :

Cos θ = $\frac{b}{c}$ = $\frac{4}{5}$ = 0.8

Step 4 :

Tan θ = $\frac{a}{b}$$\frac{3}{4} = 0.75 Answer : Sin θ = 0.6 Cos θ = 0.8 Tan θ = 0.75 2. ### Find the ratios sin theta, Cos theta and Tan theta of a right angle having opposite side and adjacent side are 6cm and 8cm respectively? Step 1 : Given that: opposite side(a) = 6cm adjacent side(b) = 8cm To find c, apply Pythagorean theorem c = \sqrt{a^{2} + b^{2}} c = \sqrt{6^{2} + 8^{2}} c = \sqrt{100} c = 10 cm Step 2 : Sin θ = \frac{a}{c} = \frac{6}{10} = 0.6 Step 3 : Cos θ = \frac{b}{c} = \frac{8}{10} = 0.8 Step 4 : Tan θ = \frac{a}{b}$$\frac{6}{8}$ = 0.75

Sin θ = 0.6
Cos θ = 0.8
Tan θ = 0.75

 More Sine Cosine Tangent Calculator Sine Calculator Cosine Calculator Tangent Calculator Inverse Cotangent Calculator Arctan Calculator
*AP and SAT are registered trademarks of the College Board.