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The Value of Tan X Sin ( π 2 + X ) Cos ( π 2 − X ) - Mathematics

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प्रश्न

The value of \[\tan x \sin \left( \frac{\pi}{2} + x \right) \cos \left( \frac{\pi}{2} - x \right)\]

 

विकल्प

  • 1

  • -1

  • \[\frac{1}{2} \sin 2x\]

     

  • none of these.

MCQ

उत्तर

none of these.

\[\text{ We have } , \]
\[tan\theta \sin\left( \frac{\pi}{2} + x \right) \cos\left( \frac{\pi}{2} - x \right)\]
\[ = \frac{\text{ sin } x}{\text{ cos } x}\text { cos } x \text{ sin } x\]
\[ = \sin^2 x\]

shaalaa.com
Values of Trigonometric Functions at Multiples and Submultiples of an Angle
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Values of Trigonometric function at multiples and submultiples of an angle - Exercise 9.5 [पृष्ठ ४३]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 9 Values of Trigonometric function at multiples and submultiples of an angle
Exercise 9.5 | Q 13 | पृष्ठ ४३

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