Question : If $\frac{\cos \theta}{(1+\sin \theta)}+\frac{\cos \theta}{(1-\sin \theta)}=4$ and $\theta$ is acute, then the value of $\theta$ is:

Option 1: $60^{\circ}$

Option 2: $15^{\circ}$

Option 3: $45^{\circ}$

Option 4: $30^{\circ}$

Question : The value of $\frac{\operatorname{sin} 58^{\circ}}{\cos 32^{\circ}}+\frac{\sin 55^{\circ} \sec 35^{\circ}}{\tan 5^{\circ} \tan 45^{\circ} \tan 85^{\circ}}$ is equal to:

Option 1: 2

Option 2: 1

Option 3: 0

Option 4: 3

Question : Find the value of $\frac{\cos^{2}25^\circ-\sin^{2}65^\circ}{\cos^{2}25^\circ+\sin^{2}65^\circ}$

Option 1: $\frac{1}{2}$

Option 2: $1$

Option 3: $–1$

Option 4: $0$

Question : The value of ($\sin 45^\circ+\cos 45^\circ$) is___________.

Option 1: $\frac{2}{\sqrt{2}}$

Option 2: $\frac{1}{\sqrt{2}}$

Option 3: $1$

Option 4: ${\sqrt{2}}$

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

Option 1: –1

Option 2: 0

Option 3: 1

Option 4: 2