In this video we will learn how to use Sum and Difference Formula for Trigonometric Functions to do a tricky challenging question in two different methods.
The Sum and Difference formulas are trigonometric identities that allow you to find the sine, cosine, or tangent of the sum or difference of two angles.
There is six sum and difference formulas for the trigonometric functions including the sine, cosine and tangent function.
sin(A + B) = sinA cosB + cosA sinB
sin(A - B) = sinA cosB - cosA sinB
cos(A + B) = cosA cosB - sinA sinB
cos(A - B) = cosA cosB + sinA sinB
tan(A + B) = (tanA + tanB) / (1 - tanA tanB)
tan(A - B) = (tanA - tanB) / (1 + tanA tanB)
Applications:
Simplifying expressions with trigonometric functions.
Calculating exact values of trigonometric functions for specific angles.
Solving trigonometric equations.
Used in physics, engineering, and calculus for wave analysis and periodic behaviour.
