The value of (1/sec²A + 1/cosec²A) is :

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Cosecant, Secant, and Cotangent as Reciprocal Ratios, Pythagorean Trigonometric Identity | PadhAiPro

Question

MCQ (Single)Cosecant, Secant, and Cotangent as Reciprocal RatiosPythagorean Trigonometric IdentityCBSE PYQ

Prove that : tan θ/(1 − cot θ) + cot θ/(1 − tan θ) = 1 + sec θ cosec θ

Prove that (cos A + sin A – 1)/(cos A – sin A + 1) = cosec A – cot A

Prove that : (1 + 1/tan² θ)(1 + 1/cot² θ) = 1/(sin² θ – sin⁴ θ)

Prove the following trigonometric identity : (sin A – cosec A) (cos A – sec A) = 1/(tan A + cot A)

(sec θ – cos θ)² + sin² θ – tan² θ = ?

Prove the following trigonometric identity : (cos A – 2 cos³ A)/(2 sin³ A – sin A) = cot A