SSC CGL 2023 PYQ — Question 75

The correct answer is option 3 i.e. $\frac{7}{12}$.

Given that

If sinØ = $\frac{4}{5}$

As we know that

CosØ = √(1 - sin²Ø)

So, cosØ = √(1 - (4/5)²)

cosØ = 3/5

the value of tanØ - CotØ

⇒ sinØ/cosØ - cosØ/sinØ

⇒ (4/5)/(3/5) - (3/5)/(4/5)

⇒ (4/3) - (3/4)  

⇒ (16 - 9)/12 = 7/12