Trigonometric Inequalities Calculator

Worked solution steps

Each card shows the rule, input state, output state, and reasoning.

0 steps

Run the calculator to see step-by-step reasoning here.

Result table

A table of boundaries, intervals, tests, or sampled values will appear after solving.

Formula guide

Standard form
f(θ) OP k

Solve equality first, then test intervals.

Period rules
sin, cos, sec, csc: 2π
tan, cot: π

Transform form
A f(Bx+C)+D OP K

Period is base period divided by |B|.

Compound form
a ≤ f(θ) ≤ b

Intersect the lower and upper solutions.

Product sign
f(θ)g(θ) OP 0

Use zeros, undefined points, and test intervals.

Example presets

sin θ ≥ 1/2 cos θ < 0 sec θ ≥ 2 2sin(x+30°) > 1 -1/2 ≤ sin θ ≤ 1/2 |cos θ| ≤ 1/2 sin θ cos θ > 0 sin +, cos -, tan -

How to use

Choose a mode, select degrees or radians, enter the comparison, and press solve. Use custom interval mode when your answer must be restricted to a specific range.

Trigonometric Inequalities Calculator

Choose inequality mode

Worked solution steps

Result table

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