Test Questions With Solved Solutions.
State cosine rule for length - Answer a² = b² + c² - 2bc cosA
State cosine rule for angle - Answer cosA = (b² + c² - a²) / 2bc
State sine rule for length - Answer a / sinA = b / sinB = c / sinC
State sine rule for angle - Answer sinA / a = sinB / b = sinC / c
State formula for area of a triangle given an angle - Answer 0.5 ab sinC
If you are given an angle from the sine rule, explain how to determine a possible second
solution - Answer 180 - angle
Draw the graph of sine - Answer https://www.mathsisfun.com/algebra/images/sine-graph.svg
Draw the graph of cosine - Answer https://www.mathsisfun.com/algebra/images/cosine-
graph.svg
Draw the graph of tangent - Answer https://dr282zn36sxxg.cloudfront.net/datastreams/f-d
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Explain how to work out angles into their acute form using the unit circle - Answer Draw the
angle on the unit circle and work out the acute angle it makes with the x-axis. Add a minus sign
unless it meets the following conditions
1) Is in the first quadrant
2) Sine and is in the second quadrant
3) Tan and is in the third quadrant
4) Cos and is in the fourth quadrant