wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If p cotθ=q2p2, then the value of sin θ is _________.

A
pq
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
q2p
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
qp
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
0.0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A pq

Given:
p cotθ=q2p2

cotθ=q2p2p

We know that, cosec2θ=1+cot2θ.
By substituting the value of cotθ=q2p2p in the trigonometric identity we get,
cosec2θ=1+q2p2p2=q2p2

So, cosec2θ=q2p2

By taking the square root on both the sides,
cosec θ=qp
And, we know that, cosec θ=1sin θ.
sinθ=pq


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relation Between Trigonometric Ratios
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon