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Class 12MathematicsTrigonometric FunctionsTrigonometric functions and their propertiesMedium
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If (\sin x+\cos x=\frac{6}{5}), what is the value of the square of (\sin x-\cos x)?

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}).

Related tags

Sine-CosineSquareIdentityTrigonometric Functions And Their PropertiesTrigonometric FunctionsMathematicsClass 12 Mcq
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10 more MCQs
  1. 1If \(\theta=0^\circ\), what is the value of \(\sin \theta\)?
  2. 2If \(\theta=0^\circ\), what is the value of \(\cos \theta\)?
  3. 3If \(\theta=45^\circ\), what is the value of \(\tan \theta\)?
  4. 4Which trigonometric function is the reciprocal of \(\sin \theta\)?
  5. 5Which trigonometric function is the reciprocal of (\cos \theta)?
  6. 6Which trigonometric function is the reciprocal of \(\tan\theta\)?
  7. 7What is (\tan \theta) equal to?
  8. 8What is (\cot \theta) equal to?
  9. 9What is the value of the basic identity (\sin^2 \theta+\cos^2 \theta)?
  10. 10What is the value of (\sec^2 \theta-\tan^2 \theta)?
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