What is the reciprocal of sin θ?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

cosine θ

sinθ

cosecθ

tanθ

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

We have to find the reciprocal of sin θ.
In a right-angled triangle, the sin θ is given as the ratio between the opposite side and the hypotenuse.
Diagram

Description automatically generated

Diagram

Description automatically generated

sinθ = \frac{Opposite side}{hypotenuse}

Taking the reciprocal,

\frac{1}{sinθ} = \frac{1}{\frac{Opposite side}{hypotenuse}}

\frac{1}{sinθ} = \frac{hypotenuse}{Opposite side}

Now,

cosecθ = \frac{hypotenuse}{Opposite side}

So,

\frac{1}{sinθ} = cosecθ

Thus, the reciprocal of sin θ is cosec θ.
Hence, option 3 is correct.

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th