SATHEE: Quantitative Aptitude Ques 1731

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 $

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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:

Answer:

Solution:

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