Quiz

Question 1 · easy

Simplify: (1/sin^2(x)) - (cos^2(x)/sin^2(x)).

Question 2 · medium

Find sin(105°) using sum formula.

Question 3 · medium

If sin(θ)=5/13 and θ in QI, find cos(2θ).

Question 4 · medium

Solve on [0,2π): cos(x) = -sqrt(3)/2.

Question 5 · medium

Solve on [0,2π): 2*sin(x) + 1 = 0.

Question 6 · easy

Simplify: sin(x)/(1-cos^2(x)) * sin(x).

Question 7 · medium

Solve on [0,2π): tan(x) + 1 = 0.

Question 8 · easy

Find the general solution to sin(x) = 1.

Question 9 · challenge

Solve on [0,2π): sin(2x) = sqrt(3)/2.

Question 10 · challenge

Simplify: tan(x)*cos(x) + cos(x)/sin(x).