Target Mathematics
HomeTextbookQuizHomework SubmissionYearly Past PapersTopic QuestionsEnrollmentContactDashboardProfile

Course

  • Add Math 0606
  • FPM 4PM1

Add Math 0606 topics

  • 1. Functions55
  • 2. Simultaneous equations and quadratics34
  • 2. Quadratic functions35
  • 3. Factors and polynomials61
  • 4. Equations, inequalities and graphs127
  • 5. Logarithmic and exponential functions86
  • 6. Straight-line graphs107
  • 7. Coordinate geometry of the circle6
  • 8. Circular measure68
  • 9. Trigonometry180
  • 10. Permutations and combinations55
  • 11. Series99
  • 12. Calculus — Differentiation 185
  • 13. Vectors51
  • 14. Calculus — Differentiation 261
  • 15. Calculus — Integration92
  • 16. Kinematics42
  • Indices and surds39

Study tools

  • Add Math 0606 overview
  • Formula summary
Additional Mathematics 0606 / Trigonometry / 2.7

2.7: Prove identity with reciprocal sine terms

0606/21/O/N/17 — Question 2 · 4 marks

· ·
(i)
Show that 11−sin⁡θ−11+sin⁡θ=2tan⁡θsec⁡θ\dfrac{1}{1 - \sin \theta} - \dfrac{1}{1 + \sin \theta} = 2\tan \theta \sec \theta1−sinθ1​−1+sinθ1​=2tanθsecθ.
[4]
← 1.31: Cosine curve constants from properties2.29: Cosecant identity and mixed equations →
Target Mathematics · Topic questions and official mark schemes