If x cosec 230- 245- 8 cos 245-sin 260-tan 260-tan 230- then x-a 1b -1c 2d 0

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Relation between Trigonometric Ratios

If x cosec 23...

Question

If $\frac{x {cosec}^{2} 30 ° \sec^{2} 45 °}{8 \cos^{2} 45 ° \sin^{2} 60 °} = \tan^{2} 60 ° - \tan^{2} 30 °$ , then x =

(a) 1
(b) −1
(c) 2
(d) 0

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Solution

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{tan}^{2} 30^{\circ} + {tan}^{2} 45^{\circ} + {tan}^{2} 60^{\circ}

m \frac{1}{3}

m

If $l i m_{x \to 0}$ kx cosec x = $l i m_{x \to 0}$ x cosec kx , then k =

I f y = (1 + x) (1 + x^{2}) (1 + x^{4}), t h e n \frac{d y}{d x} a t x = 0 i s

| x^{2} + 1 | = 2 x

x =

t a n^{2} 30^{\circ} + t a n^{2} 60^{\circ} + t a n^{2} 45^{\circ}

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