If cosec θ = α ⇒ cosec-1α = θ and secΦ = β ⇒ sec-1β = Φ �

1.	If cosec θ = α ⇒ cosec-1α = θ and secΦ = β ⇒ sec-1β = Φ then what will be the value of cosec-1γ + sec-1γ?1. 45°2. 90°3. 60°4. 30°
Answer» Correct Answer - Option 2 : 90° Given: cosec θ = α ⇒ cosec-1α = θ secΦ = β ⇒ sec^-1β = Φ Formula used: Sec x = cosec(90° – x) Calculation: Let sec^-1 γ be x ⇒ sec x = γ ⇒ cosec(90° – x) = γ ⇒ 90° – x = cosec^-1γ ⇒ cosec-1γ + x = 90° ⇒ cosec-1γ + sec-1 γ = 90° ∴ The value of cosec-1γ + sec-1 γ is 90°

If cosec θ = α ⇒ cosec-1α = θ and secΦ = β ⇒ sec-1β = Φ then what will be the value of cosec-1γ + sec-1γ?1. 45°2. 90°3. 60°4. 30°

Answer» Correct Answer - Option 2 : 90°

Given:

cosec θ = α ⇒ cosec-1α = θ

secΦ = β ⇒ sec^-1β = Φ

Formula used:

Sec x = cosec(90° – x)

Calculation:

Let sec^-1 γ be x

⇒ sec x = γ

⇒ cosec(90° – x) = γ

⇒ 90° – x = cosec^-1γ

⇒ cosec-1γ + x = 90°

⇒ cosec-1γ + sec-1 γ = 90°

∴ The value of cosec-1γ + sec-1 γ is 90°