Quantitative Aptitude Ques 1731
Question: What is $ \text{cosec (75}{}^\circ \text{+}\theta \text{)}-\sec (15{}^\circ -\theta ) $ $ -\tan (55{}^\circ +\theta )+\cot (35{}^\circ -\theta ) $
Options:
A) $ -1 $
B) 0
C) 1
D) 3/2
Show Answer
Answer:
Correct Answer: B
Solution:
- $ cosec(75{}^\circ +\theta )-\sec (15{}^\circ -\theta ) $ $ -\tan (55{}^\circ +\theta )+\cot (35{}^\circ -\theta ) $
$ \Rightarrow $ $ cosec(75{}^\circ +\theta )-cosec[90{}^\circ -(15{}^\circ -\theta )] $ $ -\tan (55{}^\circ +\theta )+\tan [90{}^\circ -(35{}^\circ -\theta )] $
$ \Rightarrow $ $ cosec(75{}^\circ +\theta )-cosec(75{}^\circ +\theta ) $ $ -\tan (55{}^\circ +\theta )+\tan (55{}^\circ +\theta )=0 $
BETA
