Assertion (A) : Multiplicative inverse of (sec θ - tan θ) is (sec θ + tan θ). Reason (R) : sec 2 θ - tan 2 θ = 1. 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true. 4. Both A and R are false.

⇒ (sec θ - tan θ)(sec θ + tan θ) ⇒ sec 2 θ + sec θ. tan θ - tan θ. sec θ - tan 2 θ ⇒ sec 2 θ - tan 2 θ ⇒ 1. Thus, we can say that : Multiplicative inverse of (sec θ - tan θ) is (sec θ + tan θ). ∴ Assertion (A) is true. Solving, ⇒ sec 2 θ - tan 2 θ ⇒ 1. ∴ Reason (R) is true. Hence, Option 3 is the correct option.

Mathematics

Assertion (A) : Multiplicative inverse of (sec θ - tan θ) is (sec θ + tan θ).
Reason (R) : sec² θ - tan² θ = 1.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Trigonometric Identities

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Mathematics

Assertion (A) : Multiplicative inverse of (sec θ - tan θ) is (sec θ + tan θ).Reason (R) : sec2 θ - tan2 θ = 1.A is true, R is false.A is false, R is true.Both A and R are true.Both A and R are false.

Trigonometric Identities

Related Questions

Assertion (A) : Multiplicative inverse of (sec θ - tan θ) is (sec θ + tan θ).
Reason (R) : sec² θ - tan² θ = 1.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.