Assertion (A): For 0 < θ ≤ 90°, cosec θ – cot θ and cosec θ + cot θ are reciprocal of each other. Reason (R): cot² θ – cosec² θ = 1

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

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

Identity Relating Cosecant and Cotangent | PadhAiPro

Question

Assertion-ReasonIdentity Relating Cosecant and CotangentCBSE PYQ

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

Pythagorean Trigonometric Identity

Identity Relating Cosecant and Cotangent

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

Which one of the following is not equal to Unity?

Assertion (A) : For an acute angle θ, cot θ = 1 ⇒ cosec θ = √2. Reason (R) : cosec² θ – cot² θ = 1.

Prove the trigonometric identity: √(sec² θ + cosec² θ) = tan θ + cot θ.