Category: 4. Even-Odd Trig Functions

Question 1: The general solution of sin x − 3 sin2x + sin3x = cos x − 3 cos2x + cos3x is _________. Solution: sinx − 3 sin2x + sin3x = cosx − 3 cos2x + cos3x ⇒ 2 sin2x cosx − 3 sin2x − 2 cos2x cosx + 3 cos2x = 0 ⇒ sin2x (2cosx…

What Is An Even Function? An even function is symmetric (by reflection) about the y-axis , i.e.f(-x) = f(x) What Is An Odd Function? An odd function is symmetric (by 180° rotation) about the origin, i.e.f(-x) = -f(x) The following table shows the Even Trigonometric Functions and Odd Trigonometric Functions. Scroll down the page for…