If (\sin x+\cos x=\frac{6}{5}), what is the value of the square of (\sin x-\cos x)?
Advertisement
Answer and explanation
Correct answer: (\frac{14}{25})
Use the identity ((\sin x+\cos x)^2+(\sin x-\cos x)^2=2). Hence the value is (2-\frac{36}{25}=\frac{14}{25}).
Frequently asked questions
What is the correct answer to this question?
(\frac{14}{25})
Why is this the correct answer?
Use the identity ((\sin x+\cos x)^2+(\sin x-\cos x)^2=2). Hence the value is (2-\frac{36}{25}=\frac{14}{25}).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
Advertisement