Q) If Sin α = 1/√2 and Cot β = √3, then find the value of Cosec α + Cosec β.
Ans: Given that, Sin α = 1/√2
⇒ Cosec α = √2
And since Cot β = √3
⇒ Cosecβ = √(1+ Cot2 β) = √(1+3) = 2
Next, let’s find out value of Cosec α + Cosec β
= 2 + √2
= √2 (1+√2)
Q) If Sin α = 1/√2 and Cot β = √3, then find the value of Cosec α + Cosec β.
Ans: Given that, Sin α = 1/√2
⇒ Cosec α = √2
And since Cot β = √3
⇒ Cosecβ = √(1+ Cot2 β) = √(1+3) = 2
Next, let’s find out value of Cosec α + Cosec β
= 2 + √2
= √2 (1+√2)