Question
Download Solution PDFSolve it: sin x = 1 then x is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF
Given:
sin2(θ) = 1
Concept Used:
The trigonometric identity for sin2(θ) is:
sin2(θ) = 1
⇒ sin(θ) = ±1
This implies θ must satisfy:
sin(θ) = 1 ⇒ θ = π / 2
sin(θ) = -1 ⇒ θ = 3π / 2
Calculation:
Looking at the options:
Option 1: π / 4 ⇒ sin(π / 4) ≠ 1
Option 2: 2 π / 3 ⇒ sin(2 π / 3) ≠ 1
Option 3: π / 2 ⇒ sin(π / 2) = 1
Option 4: π / 3 ⇒ sin(π / 3) ≠ 1
∴ The correct answer is Option 3.
Last updated on Jul 1, 2025
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