मात्रात्मक योग्यता प्रश्न 1731

प्रश्न: $ \text{cosec (75}{}^\circ \text{+}\theta \text{)}-\sec (15{}^\circ -\theta ) $ $ -\tan (55{}^\circ +\theta )+\cot (35{}^\circ -\theta ) $ क्या है?

विकल्प:

A) $ -1 $

B) 0

C) 1

D) 3/2

Show Answer

उत्तर:

सही उत्तर: B

हल:

  • $ 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 $