SSC CGL Tier-2 12th September 2019 Maths

Question 34

The value of $$tan^2 \phi+cot^2 \phi-sec^2 \phi cosec^2 \phi$$ is equal to

Solution

$$tan^2 \phi+cot^2 \phi-sec^2 \phi cosec^2 \phi$$
Put the $$\theta = 45\degree$$
= $$tan^2 45\degree + cot^2 45\degree - sec^2 45\degree cosec^2 45\degree$$
= $$1 + 1 - 2 \times 2$$
= 1 + 1 - 4 = -2

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