Table of Contents
Explain in Detail :List of Trigonometric Identities
There are a number of trigonometric identities that are used to simplify trigonometric expressions. Some of the most common trigonometric identities are listed below.
sin(θ) = cos(θ)
cos(θ) = sin(θ)
tan(θ) = sin(θ)/cos(θ)
cot(θ) = cos(θ)/sin(θ)
sec(θ) = 1/cos(θ)
csc(θ) = 1/sin(θ)
The Angle’s Sum and Difference identities
The sum and difference of two angles is equal to the sum of the products of the angles’ sines and cosines.
The product of two angles’ sines is equal to the sum of their cosines.
The Trigonometric Identities Formula
The trigonometric identities formula is a mathematical statement that states that certain trigonometric functions are equal to each other. The most basic trigonometric identity is the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Trigonometric Identity 1
sin(x) = cos(x)
This is a trigonometric identity, which states that the sine and cosine of an angle are equal. It can be proven using the Pythagorean theorem.
Trigonometric Identity 2
sin(θ) = cos(θ – π/2)
This trigonometric identity states that the sine of an angle is equal to the cosine of the angle minus the value of π/2.
