Cos Square Theta Formula
Trigonometric identities are equations that are true for any value of the variable in the domain and relate to various trigonometric functions. An identity is a mathematical equation that holds true for all values of the variables in it. Trigonometric functions define the function of an angle, i.e. the angles and sides relationships. The trigonometric functions are sin, cosine, tangent, cotangent, Cos, Cosec.
Formula for Cos Square theta
According to the trigonometric identities, we know that,
cos2θ + sin2θ = 1
where,
- θ is an acute angle of a right triangle.
- sinθ and cosθ are the trigonometric ratiosgiven as follows:
sinθ = Altitude/Hypotenuse
cosθ = Base/Hypotenuse - sin2θ is the square of sinθandcos2θ is the square ofcosθ i.e,
sin2θ = (sinθ)2
cos2θ= (cosθ)2
Thus cos square theta formula is given by,
cos2θ = 1 -sin2θ
Solved Example for Cos Square Theta Formula
Example: What is the value of cos square x, if Sin x = 4/5 ?
Sol: Using Cos Square theta formula,
Cos2x = 1 Sin2x
= 1 (4/5)2
= 1 16/25
= (25 16) / 25
= 9/25
Thus, cos x = 3/5
Our experts prepared a List of all Maths formulas used in different calculations.
Find Below Pdf available for downloading for Cos Square Theta Formula
