Multiple choice

If, θ is an acute angle and tanθ + cotθ =2 Then find the value of sec2θ -1? / यदि, θ एक न्यून कोण है और tan θ+ cot θ = 2 है, तो sec2θ -1 का मान ज्ञात कीजिये?

  1. 0

  2. 1

  3. 2

  4. √2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given tanθ + cotθ = 2. Since cotθ = 1/tanθ, let tanθ = t. Then t + 1/t = 2, giving t² - 2t + 1 = 0, so (t-1)² = 0. Thus tanθ = 1. The identity sec²θ - 1 = tan²θ gives sec²θ - 1 = 1² = 1. Option B is correct.

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