If xsin 900-A 900-A -cos 900-A - then find x-

xsin ( 90^0 A ) ( 90^0 A ) =cos ( 90^0 A ) or #160; xcos Asin A/cos A=sin A or #160; xsin A=sin A i.e. #160; x=1 ...

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Monotonically Increasing Functions

If xsin 900...

Question

If $x sin (90^{0} - A) cot (90^{0} - A) = cos (90^{0} - A)$ , then find $x$ .

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Solution

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x sin (90^{0} - θ) cot (90^{0} - θ) = cos (90^{0} - θ)

x

\frac{cos (90^{0} + θ) . sec (270^{0} + θ) . sin (180^{0} + θ)}{cos (- θ) . cos (270^{0} - θ) . tan (180^{0} + θ)} = - m cosec θ

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c o s 1^{0} . c o s 2^{0} . . . . . . . . . c o s 90^{0} =

sin 20^{0} \times cos 40^{0} \times tan 45^{0} \times cos 90^{0}

\frac{sin θ}{cos (90^{0} + θ)} + \frac{sin θ}{sin (180^{0} + θ)} + \frac{tan (90^{0} + θ)}{cot θ}

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