Undoing Trigonometry

Trigonometry · Axiom Academy

Discover how inverse functions unlock angles from trig equations using the balance beam principle! When solving trigonometry problems, we often need to find an angle hidden inside a trig function. The angle is "locked" inside! We know the result of sin(θ) is 0.5 But we need to find the angle θ itself How do we "unlock" θ from inside the sine function? Let's see how functions and their inverses work together. Try different angle values! When solving equations, whatever we do to one side, we must do to the other to keep the equation balanced. Let's solve sin(θ) = 0.5! Apply an operation to both sides : Each trig function has its own inverse. Click on each card and select the correct inverse function to solve for θ! Mastering Inverse Trigonometry sin⁻¹ (arcsin): Undoes sine, gives angle from sine value cos⁻¹ (arccos): Undoes cosine, gives angle from cosine value tan⁻¹ (arctan): Undoes tangent, gives angle from tangent value

This is the written version of the interactive lesson above. See the full Trigonometry course.