1 - cos -10 1 - cos 3-10 1 - cos 7-10 1 - cos 9-10 - 116

By supplementary rule,cos ( π 4) = cos AL.H.S. = (1 + cos π10) (1 + cos 3π10) (1 cos 3π10) (1 cos π10) = (1 cos^2 π10) (1 ...

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Tangent, Cotangent, Secant, Cosecant in Terms of Sine and Cosine

1 + cos π10...

Question

$(1 + c o s \frac{π}{10}) (1 + c o s \frac{3 π}{10}) (1 + c o s \frac{7 π}{10}) (1 + c o s \frac{9 π}{10}) = \frac{1}{16}$

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(1 + cos \frac{π}{10}) (1 + cos \frac{3 π}{10}) (1 + cos \frac{7 π}{10}) (1 + cos \frac{9 π}{10}) = \frac{1}{16}

(1 - cos \frac{π}{10}) (1 + cos \frac{3 π}{10}) (1 + cos \frac{7 π}{10}) (1 - cos \frac{9 π}{10})

(1 + cos \frac{π}{10}) (1 + cos \frac{3 π}{10}) (1 + cos \frac{7 π}{10}) (1 + cos \frac{9 π}{10})

(1 + c o s \frac{π}{10}) (1 + c o s \frac{3 π}{10}) (1 + c o s \frac{7 π}{10}) (1 + c o s \frac{9 π}{10})

c o s \frac{π}{11} + c o s \frac{3 π}{11} + c o s \frac{5 π}{11} + c o s \frac{7 π}{11} + c o s \frac{9 π}{11} = \frac{1}{2}

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