You can use the image of a BOW TIE to remind you to always draw a vertical line to the x-axis when completing a triangle to compute sine and cosine. This is because the triangle you work with will always be part of the bow tie. Homework Help ✎
In the diagram, assume the bow tie is symmetric with respect to both coordinate axes. Let α = ∠EOW, β = ∠EOB, γ = ∠EOT, and δ = ∠EOI, where all of these angles are in standard position and between 0 and 2
. The angles for α and β are shown. Assume sin α = .
Without finding α, find the exact values for sin β, sin γ, and sin δ.
Use the Fundamental Pythagorean Identity or a right triangle to find cos α.
Find the exact values for cos β, cos γ, and cos δ.
The first two are negative cosθ.
The last one is positive cosθ.