What is the value of sin2θ+cos2θ?
Difficulty: Easy
About this MCQ
Easy MATHEMATICS MCQS item. Correct choice: A. 1. Listed for NTS GAT General practice.
- A. 0
Why not A: The sum of sin²θ and cos²θ is never always equal to 0.
- A. 1 ✓
- C. 2
Why not C: The maximum value of the expression is 1, not 2.
- D. tanθ
Why not D: tanθ is a different trigonometric function and is not equal to sin²θ + cos²θ.
Correct answer
A. 1
Explanation
The identity sin²θ + cos²θ = 1 is known as the Pythagorean Identity in trigonometry. It is true for every value of θ and is one of the most fundamental identities used in mathematics.
Source: NCERT Mathematics / Standard Trigonometry Textbooks
Tags: Trigonometry, Pythagorean Identity , Mathematics Basic Trigonometry, Trigonometric Identities MCQ
Relevant exams: NTS GAT General
Submitted by: MCQsHub Editorial