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  • Find the value of <img alt="\mathrm{ sin\ 25^{\circ}sin\ 65^{\circ}-cos\ 25^{\circ}cos\ 65^{\circ} }" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%20sin%5C%2025%5E%7B%5Cci

Find the value of \mathrm{ sin\ 25^{\circ}sin\ 65^{\circ}-cos\ 25^{\circ}cos\ 65^{\circ} }

Option: 1

2


Option: 2

0


Option: 3

1


Option: 4

-1


Answers (1)

best_answer

option (b) 0

Given that,

\mathrm{sin\ 25^{\circ}sin\ 65^{\circ}-cos\ 25^{\circ}cos\ 65^{\circ} }

\mathrm{sin\ 25^{\circ}sin\ 65^{\circ}-cos\ 25^{\circ}cos\ 65^{\circ}=sin\ 25^{\circ}sin\left ( 90^{\circ}-25^{\circ} \right )-cos\ 25^{\circ}cos\left (90^{\circ}-25^{\circ} \right ) }

\mathrm{sin\ 25^{\circ}sin\ 65^{\circ}-cos\ 25^{\circ}cos\ 65^{\circ}=sin\ 25^{\circ}cos\25^{\circ}-cos\ 25^{\circ}sin25^{\circ} }

\mathrm{sin\ 25^{\circ}sin\ 65^{\circ}-cos\ 25^{\circ}cos\ 65^{\circ}=sin\ 25^{\circ}cos\25^{\circ}-sin25^{\circ}cos\ 25^{\circ} }

\mathrm{sin\ 25^{\circ}sin\ 65^{\circ}-cos\ 25^{\circ}cos\ 65^{\circ}=0 }

Posted by

Deependra Verma

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