What is the value of the identity (\sin^2 x+\cos^2 x)?
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Answer and explanation
Correct answer: 1
The fundamental Pythagorean trigonometric identity is \(\sin^2 x+\cos^2 x=1\). Therefore, the correct value is 1. Note that \(\sec^2 x=1+\tan^2 x\), so it is not the value of this expression. Exam tip: whenever you see \(\sin^2 x+\cos^2 x\), replace it with 1.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The fundamental Pythagorean trigonometric identity is \(\sin^2 x+\cos^2 x=1\). Therefore, the correct value is 1. Note that \(\sec^2 x=1+\tan^2 x\), so it is not the value of this expression. Exam tip: whenever you see \(\sin^2 x+\cos^2 x\), replace it with 1.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
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