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Trigonometry and identities quiz: N(A)-Level Additional Mathematics (SEAB 4051) quiz

14questions. Pick an answer and you'll see why right away.

  1. On the unit circle, a point at angle θ\theta has coordinates:

  2. The exact value of sin30\sin 30^\circ is:

  3. The exact value of cos60\cos 60^\circ is:

  4. Following ASTC, which ratio is positive in the third quadrant?

  5. In which quadrant is sine positive but cosine negative?

  6. The quotient identity states tanθ\tan\theta equals:

  7. Simplify sin2θ+cos2θ\sin^2\theta + \cos^2\theta.

  8. Rearranging the Pythagorean identity, 1cos2θ1 - \cos^2\theta equals:

  9. Simplify cos2θ1sin2θ\dfrac{\cos^2\theta}{1 - \sin^2\theta}.

  10. To solve a trigonometric equation in a range, the first step is to find:

  11. Solve sinθ=0.5\sin\theta = 0.5 for 0θ3600^\circ \leqslant \theta \leqslant 360^\circ.

  12. Solve cosθ=0.5\cos\theta = 0.5 for 0θ3600^\circ \leqslant \theta \leqslant 360^\circ.

  13. Why does a trigonometric equation often have more than one solution in a range?

  14. A non-exact angle answer in degrees should usually be given to: