If x2tan 2 60-4 x cos 2 45-4 sin 30-cos 60-tan 45- and x is not an integer then x is equal to2AB- 2-3C- -3-3

The correct option is C 1/3 x^2.3 4x 1/2=4. 1/2.1/2=1 ⇒ 3x^2 2x=1 ⇒(x 1)(3x+1)=0 ⇒ x = 1/3 ...

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Byju's Answer

Standard XII

Mathematics

Composition of Trigonometric Functions and Inverse Trigonometric Functions

If x2tan 2 60...

Question

If $x^{2} t a n^{2} 60^{\circ} - 4 x c o s^{2} 45^{\circ} = 4 s i n 30^{\circ} c o s 60^{\circ} t a n 45^{\circ}$ and x is not an integer then x is equal to

$\frac{2}{3}$

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$\frac{- 1}{3}$

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$\frac{1}{3}$

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$\frac{2}{3}$

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Solution

The correct option is B
$\frac{- 1}{3}$

$x^{2} .3 - 4 x \frac{1}{2} = 4. \frac{1}{2} . \frac{1}{2} = 1 \Rightarrow 3 x^{2} - 2 x = 1 \Rightarrow (x - 1) (3 x + 1) = 0 \Rightarrow x = \frac{- 1}{3}$

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If x2tan2 60∘−4x cos2 45∘=4 sin 30∘ cos 60∘ tan 45∘ and x is not an integer then x is equal to

The correct option is B −13 x2.3−4x12=4.12.12=1⇒3x2−2x=1⇒(x−1)(3x+1)=0⇒x=−13

If $x^{2} t a n^{2} 60^{\circ} - 4 x c o s^{2} 45^{\circ} = 4 s i n 30^{\circ} c o s 60^{\circ} t a n 45^{\circ}$ and x is not an integer then x is equal to

The correct option is B
$\frac{- 1}{3}$

$x^{2} .3 - 4 x \frac{1}{2} = 4. \frac{1}{2} . \frac{1}{2} = 1 \Rightarrow 3 x^{2} - 2 x = 1 \Rightarrow (x - 1) (3 x + 1) = 0 \Rightarrow x = \frac{- 1}{3}$