Double-Angle
Half-Angle
Exact Values
0 ≤ θ < 2π
Miscellaneous
100
Find sin(120) usign the double-angle formula.
√3/2
100
Use the half-angle formula to solve: 5π/12
2√(2+√3)
100
What is the sin inverse of -1?
-π/2
100
What is 2cos² θ + cosθ = 0 ?
{π/2, 3π/2, 2π/3, 5π/6}
100
Find cosθ/2, sinθ = -7/25, 270° < θ 360°
-√1/50
200
Find cos(4π/3) using the double-angle formula.
1/2
200
Use the half-angle formula to find: sin165
√((2-√3)/2)
200
What is the tan inverse of (√3)?
π/3
200
Solve cos(2θ) + 6sin²θ = 4
{π/3, 2π/3, 4π/3, 5π/3}
200
What is the tan inverse of 0?
0
300
Solve sin60 using the double-angle formula.
1/2
300
Use the half-angle formula to solve tan45.
1
300
sin(cos inverse 1/2)
√3/2
300
Solve 4sinθ + 3√3 = √3
{4π/3, 5π/3}
300
Solve: (1-sinθ)/cosθ = cosθ/(1+sinθ)
cosθ/(1+sinθ)
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