Is cosxsin3x+sinxcosxtanx =1

cosxsin3x+sinxcosxtanx=sin3x+sinxcos2xtanx×cosx=sinx(sin2x+cos2x)cosxsinx×cosx=sinx×1sinx=1

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Is { x}{{ ^{3}x}{ x}+ x x} =1

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Is $\frac{tan x}{\frac{sin ^{3} x}{cos x} + sin x cos x}$ $= 1$

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Mateo Discussed

\frac{tan x}{\frac{sin ^{3} x}{cos x} + sin x cos x}

= 1

11 mins ago

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11 mins ago

\frac{tan x}{\frac{s i n ^{3} x}{c o s x} + sin x cos x} = \frac{tan x \times cos x}{sin ^{3} x + sin x cos ^{2} x}

= \frac{\frac{s i n x}{c o s x} \times cos x}{sin x ( sin ^{2} x + cos ^{2} x )}

= \frac{sin x}{sin x \times 1} = 1

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Question Text	Is $\frac{tan x}{\frac{sin ^{3} x}{cos x} + sin x cos x}$ $= 1$
Answer Type	Text solution:1
Upvotes	150