The value of \frac{\sin 25^\circ\cos 65^\circ+\cos25^\circ\sin 65^\circ}{\tan ^2 70^\circ-\cosec^2 20^\circ} is

RRB Junior Engineer Stage 1 Model Papers 10

Question : 13 of 98

Marks: +1, -0

The value of

{\sin 25°\cos 65°+\cos25°\sin 65°}/{\tan ^2 70°-\cosec^2 20°}

Solution:

{\sin 25°\cos 65°+\cos25°\sin 65°}/{\tan ^2 70°-\sec^2 70°}

={\sin(25°+65°)}/{-1}={\sin90°}/{(-1)}=-1

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