Trigonometric identities and simple equations

Question 1

What is the relationship between sin(θ), cos(θ) and tan(θ)?

Answer 1

tan(θ)=sin(θ)/cos(θ)

Question 2

What is the relationship between sin(θ), cos(θ) and 1?

Answer 2

sin(θ)²+cos(θ)²=1

Question 3

How may equations of the form f(a+bθ)=c, m≤θ≤n be solved?

Answer 3

By replacing a+bθ with x to give the equation f(x)=c, bm+a≤x≤bn+a, finding the solution(s), and then calculating θ from these values of x