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Can you solve a right triangle given the hypotenuse \(c\) and the measure of the angle opposite to it?

-This was given in our Midterms Exam in Math103(Trigonometry)-

I was surfing on internet when I came across a really interesting question -

How many scrambled Rubik's Cube configurations exist such that it takes exactly 7 moves to solve ...

NDTV: What do you say to someone who says, that is quite common, I hate maths? Prof Bhargava: That means he didn't learn in the right way NDTV: Right ...

NDTV: What do you say to someone who says, that is quite common, I hate maths?

Prof Bhargava: That means he didn't learn in the right way

NDTV: Right ...

Evaluate

\(\cos(10^{\circ})\cos(20^{\circ})\cos(30^{\circ})\cos(40^{\circ})\cos(50^{\circ})\cos(60^{\circ})\cos(70^{\circ})\cos(80^{\circ})\)

If the answer can be ...

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