3. यदि \( p \sin \theta=q \cos \theta \), तो \( \operatorname{cosec} \theta \) का मान होगा (4) \( \frac{\sqrt{p^{2}+q^{2}}}{q} \) (b) \( \frac{\sqrt{p^{2}+q^{2}}}{p} \) (c) \( \frac{p}{\sqrt{p^{2}+q^{2}}} \) (d) \( \frac{q}{\sqrt{p^{2}+q^{2}}} \)

Question

3. यदि \( p \sin \theta=q \cos \theta \), तो \( \operatorname{cosec} \theta \) का मान होगा (A) \( \frac{\sqrt{p^{2}+q^{2}}}{q} \) (b) \( \frac{\sqrt{p^{2}+q^{2}}}{p} \) (c) \( \frac{p}{\sqrt{p^{2}+q^{2}}} \) (d) \( \frac{q}{\sqrt{p^{2}+q^{2}}} \)

Answer 1

ANSWER -- (A)

Answer 2

psinθ = qcosθ

cotθ = p/q

cot²θ = (p/q)² 

1+ cot²θ = (p/q)²   + 1

cosec²θ = ( P² + q² )/q² 

cosecθ = sqrt( P² + q² )/q