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Geometry Level 3

c o s 2 ( π 4 ( s i n x + 2 c o s 2 x ) ) − t a n 2 ( x + π 4 t a n 2 x ) = 1 cos^{2}( \frac{\pi}{4}(sinx + \sqrt{2}cos^{2}x)) - tan^{2}(x + \frac{\pi}{4}tan^{2}x) = 1

x = a x = a satisfy it

Find s i n a sina


The answer is -0.7071.

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U Z by U Z , 24, Guyana

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1 solution

Keshav Tiwari
Dec 4, 2014

The first term must be 1 and the second 0 . On solving we get x=-pi/4.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Why can't they be other values? And how do you solve to get the value of x or sin x?

Jared Low - 6 years, 5 months ago

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