Question : Evaluate the following. $\sin 25° \sin 65° – \cos 25° \cos 65°$
Option 1: 4
Option 2: 1
Option 3: 0
Option 4: 40
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Correct Answer: 0
Solution : $\sin 25° \sin 65° - \cos 25° \cos 65°$ $=\sin 25° \sin(90° - 25°) - \cos 25° \cos(90° - 25°)$ $=\sin 25° \cos 25° - \cos 25° \sin 25°$ $=0$ Hence, the correct answer is 0.
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Question : Evaluate the following. $\sin 25^{\circ} \sin 65^{\circ}-\cos 25^{\circ} \cos 65^{\circ}$.
Option 1: 40
Option 2: 4
Option 4: 1
Question : Find the value of the given expression. 2 + cos 49°cos 41° – sin 49° sin 41°
Option 1: 2
Option 2: –1
Question : The value of $(\cos 53° – \sin 37°)$ is:
Option 1: $0$
Option 2: $1$
Option 3: $2 \sin 37°$
Option 4: $2 \cos 53°$
Question : The value of $\frac{\sin A}{1+\cos A}+\frac{\sin A}{1-\cos A}$ is $(0°<A<90°)$:
Option 1: $2\operatorname{cosec}A$
Option 2: $2 \sec A$
Option 3: $2 \sin A$
Option 4: $2 \cos A$
Question : Evaluate the expression: $\frac{\sin ^2 63^{\circ}+\sin ^2 27^{\circ}}{\cos ^2 17^{\circ}+\cos ^2 73^{\circ}}$
Option 1: 0
Option 2: 3
Option 3: 1
Option 4: 2
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