Trigonometric Identities Question 120
Question: If $ \sin \theta +cosec\theta =2 $ , then $ {{\sin }^{2}}\theta +cose{c^{2}}\theta = $
[MP PET 1992; MNR 1990; UPSEAT 2002]
Options:
A) 1
B) 4
C) 2
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ {{\sin }^{2}}\theta +cose{c^{2}}\theta ={{(\sin \theta +cosec\theta )}^{2}}-2\sin \theta \text{ cosec}\theta $ $ ={{(2)}^{2}}-2=4-2=2, $ since $ (\sin \theta +cosec\theta )=2. $
BETA
