If \(\sin^2 \theta+\cos^2 \theta=k\), what is the value of (k)?
Answer and explanation
Correct answer: 1
The fundamental trigonometric identity is \(\sin^2\theta+\cos^2\theta=1\). Therefore, \(k=1\). Option 2 may result from incorrectly treating both terms as individually equal to their maximum value; it is not true for every \(\theta\). Exam tip: whenever you see \(\sin^2\theta+\cos^2\theta\), replace it with 1.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The fundamental trigonometric identity is \(\sin^2\theta+\cos^2\theta=1\). Therefore, \(k=1\). Option 2 may result from incorrectly treating both terms as individually equal to their maximum value; it is not true for every \(\theta\). Exam tip: whenever you see \(\sin^2\theta+\cos^2\theta\), 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.
