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BBB 2022 - Senior Secondary - Preliminary Round Question 3

BBB · BBB 2022 - Senior Secondary - Preliminary Round

Question 3

$x$ is an acute angle and satisfies $\cot x=\frac34$. Find the value of $\frac{\sin^2x+\cos^2x}{\cos^2x-\sin^2x}$.
  1. $-\frac{25}7$
  2. $-\frac{12}7$
  3. $-\frac{16}7$
  4. $\frac97$