1. Trigonometry Revision Questions 1.. If cosec θ = 5/4, find the value of cot θ and cos 𝜃 2. If θ = 45°, then what is the value of 2𝑠𝑒𝑐 2 𝜃 + 3 3. If √3sin θ = cos θ, find the value of 3𝑐𝑜𝑠 2 𝜃 + 2𝑐𝑜𝑠𝜃 4. In a right angled ∆ABC, tan B = 12/5, then find sin B. 5. If cos (A + B) = 0 and sin (A – B) = 30°, then find the value of A and B where A and B are acute angles. 1+𝑡𝑎𝑛2 𝜃 6.. Simplify: 1+𝑐𝑜𝑡 2 𝜃 7. Given 2 cos 3θ = 3, find the value of θ. 8. Prove the identity: (sec A – cos A). (cot A + tan A) = tan A. sec A. 9. If A, B and C are the interior angles of a ∆ABC, show that sin (A+B/2) = 10. If sin θ = 1/2, then show that 3𝑐𝑜𝑠𝜃 − 4𝑐𝑜𝑠 3 𝜃 = 0
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