Exams › SSC CGL (Prelims) › General

Given that tan x = 1, what is the value of sin^2(x) + cos^2(x)?

1. 0
2. 1/2
3. 1
4. 2

Correct answer: 1

Solution

By the fundamental Pythagorean identity, sin^2(x) + cos^2(x) = 1 for all angles x. The given condition tan x = 1 is irrelevant, since the identity holds universally. Hence the value is 1.

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