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NSWMaths AdvancedQuick questions

Year 11: Trigonometry

Quick questions on Trigonometric functions of any angle for HSC Maths Advanced: the unit-circle definition of sine, cosine and tangent beyond acute angles, the four quadrants and the ASTC sign rule, the related acute angle, exact values at angles around the circle and their reflections, finding one ratio from another given the quadrant, and solving a simple trigonometric equation over 0 to 360 degrees

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is exact values around the circle?
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Because the related acute angle is always one of the special angles when θ\theta is a "nice" multiple of 30°30\degree or 45°45\degree, the exact values from the two special triangles spread to the whole circle. The acute anchors are
What are calculator in radians?
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As with all degree-measure trig, set the calculator to DEG; a radian setting makes sin⁡30\sin 30 read as sin⁡30\sin 30 radians and every value is wrong.

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