Question : If for any acute angle A, $\sin A+\sin^{2} A=1$, then the value of $\cos^{2}A+\cos^{4}A$ is:

Option 1: –1

Option 2: 1

Option 3: 2

Option 4: 0

Question : If $\sin \theta +\sin ^{2}\theta =1$, then the value of $\cos ^{2}\theta +\cos ^{4}\theta$ is:

Option 1: 2

Option 2: 4

Option 3: 0

Option 4: 1

Question : If $\sin \theta-\cos \theta=0$, then find the value of $\left(\sin^3 \theta-\cos^3 \theta\right)$.

Option 1: $0$

Option 2: $2$

Option 3: $1$

Option 4: $\frac{1}{\sqrt{2}}$

Question : Value of $\sec^2\theta-\frac{\sin^2\theta-2\sin^4\theta}{2\cos^4\theta-\cos^2\theta}$ is:

Option 1: 1

Option 2: 2

Option 3: –1

Option 4: 0

Question : If $\tan \theta=\frac{4}{3}$, then the value of $\frac{3\sin \theta+ 2\cos \theta}{3\sin \theta – 2 \cos \theta}$ is:

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

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

Option 3: $3$

Option 4: $–3$