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Trigonometric Ratios of Compound Angles

If sin^3theta...

Question

If sin^3theta cos(3theta)+cos^3theta sin(3theta)=3/8 then value of sin(4theta) is equal to?

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f (θ) = {sin}^{4} θ + {cos}^{2} θ

, then range of

f (θ)

{cos}^{4} θ + α

{sin}^{4} θ + α

are the roots of the equation

x^{2} + 4 x + 2 = 0

, then values of

α

x = 2 - \sqrt{3}

, then the value of

x^{2} - 4 x + 8

{log}_{x} {log}_{18} (\sqrt{2} + \sqrt{8}) = \frac{1}{3}

. Then the value of

1000 x

m = \frac{1}{3 - \sqrt{8}}

n = \frac{1}{3 + \sqrt{8}}

m^{2}

17 + 6 \sqrt{n}

, then value of

n

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Trigonometric Ratios of Compound Angles

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