Trigonometric functions
Extend sine and cosine to reciprocal functions, identities and inverse functions.
Explore sec, cosec and cot and their graphs below. Further lessons in this chapter are being added.
- Sec, cosec and cotLearn sec, cosec and cot with exact values, quadrant signs and domain restrictions. Explore a unit circle, see the tangent geometry and practise with worked solutions.
- Sec, cosec and cot graphsSketch sec, cosec and cot graphs with their domains, ranges, periods and asymptotes. Explore denominator zeros and practise exact intercepts and turning points.
- Transforming sec, cosec and cot graphsTransform sec, cosec and cot graphs using stretches, shifts and reflections. Map asymptotes, find ranges and intersections, and preserve holes after simplification.
- Reciprocal trigonometric identitiesProve identities involving sec, cosec and cot by rewriting in sine and cosine. Keep domain restrictions, handle square roots and apply the algebra to geometry.
- Sec, cosec and cot equationsSolve sec, cosec and cot equations in degrees and radians. Find every interval solution, handle shifted angles and factors, and reject excluded inputs.