For all real values of x, cot x − 2 cot 2 x is equal to - Mathematics

प्रश्न

For all real values of x, $\cot x - 2 \cot 2 x$ is equal to

विकल्प

$\tan 2 x$
$\tan x$
$- \cot 3 x$
none of these

MCQ

उत्तर

\tan x

$We have,$
$cot x - 2 \cot 2 x = cot x - 2 \frac{\cot^{2} x - 1}{2 cot x}$
$= \frac{\cot^{2} x - \cot^{2} x + 1}{cot x}$
$= \frac{1}{cot x}$
$= tan x$

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Values of Trigonometric Functions at Multiples and Submultiples of an Angle

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

Q 5 Q 4 Q 6

अध्याय 9: Values of Trigonometric function at multiples and submultiples of an angle - Exercise 9.5 [पृष्ठ ४३]

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आरडी शर्मा Mathematics [English] Class 11

अध्याय 9 Values of Trigonometric function at multiples and submultiples of an angle
Exercise 9.5 | Q 5 | पृष्ठ ४३

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For all real values of x, cot x − 2 cot 2 x is equal to - Mathematics

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For all real values of x, cot x − 2 cot 2 x is equal to - Mathematics

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