If x=2+squareroot3. Find the value of x square+1 by x square
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If sin 2A = -24/25 , find cos 2A, sin A, cos A, pi<2A<3pi/2
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Answer:
x=2+root3
To Find: x^2+(1/x)^2
=(2+root3)^2+(1/2+root3)
=(4+3+4*root3)+ (1/ 4+3+4*root3)
=7 +4*root3 + 1/7+4*root3
Rationalize the denominator
= 7+4*root3+ 7-4*root3/ 49-9
=7+4*root3+ 7-4*root3/40
=280+160*root3/40 + 7-4*root3/40
=(273+156*root3)/40
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