0606/12 May/Jun 2026, Question 7: Trig Identities and Proofs
Cambridge IGCSE Additional Mathematics 0606 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Show that cosec x − sin x is equivalent to cos x ÷ tan x.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1cosec x − sin x = 1/sin x − sin x
- 2= (1 − sin²x)/sin x
- 3= cos²x/sin x
- 4= cos x ÷ (sin x/cos x) = cos x/tan x
Answercosec x − sin x = cos x/tan x shown
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Also searched as: 0606/12/M/J/26 · 0606_s26_qp_12 · 0606 s26 12 · question 7.
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