Prove that sin θ + tan θ + cos θ = sec θ Complete solution plswith solution = 5 points. Created by sImOn :]. science-mathematics-en - mathematics-en

Prove that sin θ + tan θ + cos θ = sec θ?

May 2021 2 122 Report

Prove that sin θ + tan θ + cos θ = sec θ?

Prove that sin θ + tan θ + cos θ = sec θ

Complete solution pls

with solution = 5 points

For θ = π/4, LHS = √2 + 1 ≠ √2 = RHS, so the equation is false.

Did you mean

sin² (θ) + tan² (θ) + cos² (θ) = sec² (θ)?

This is true because

sin² (θ) + cos² (θ) = 1 = sec² (θ) - tan² (θ).

I don't believe it's true.

sin(pi/4) + tan(pi/4) + cos(pi/4) = [1/sqrt(2)] + 1 + [1/sqrt(2)] = 1 + 2/sqrt(2) = 1 + sqrt(2)

sec(pi/4) = sqrt(2)