JIPMAT 2023 (QA) PYQs

Given below are two statement:

Statement I: If $\sin (\theta)=\frac{5}{13}$, then the value of $\tan (\theta)=\frac{5}{12}$

Statement II: if $\cot (\theta)=\frac{12}{5}$, then the value of $\sin (\theta)=\frac{5}{12}$

In the light of the above statements, choose the correct answer form the question below:

If $\sin (θ) - \cos (θ) = 0$, the value of sin⁴ (θ) + cos⁴ (θ) is:

If $\frac{\sin\theta + \cos\theta}{\sin\theta - \cos\theta} = 3$, then value of $\sin^4\theta - \cos^4\theta$ is