Prove that `4^(79)<2^(100)+3^(100)<4^(80)`

Prove that sec^(2)11^(@)-(1)/(tan^(2)79^(@))=1 .

Prove that sin19^(@) + sin41^(@) + sin83^(@) = sin23^(@) + sin37^(@) + sin79^(@)

Prove that, lim_(ntooo)(3.5+5.7+7.9+.......+(2n+1)(2n+3))/(n^(3))=(4)/(3)

Prove that : tan1^(@)tan11^(@)tan21^(@)tan69^(@)tan79^(@)tan89^(@)=1

Differential Calculus. 79. If sec 4x, prove that 16t (1 -t 4) 2, where t tan X

Prove that successive joining of the points (7,9) (3,-7) and (-3,3) produce a right - angled isosceles triangle .

Prove that the points (7,9) , (3,-7) and (-3,3) form a right angled isoseles triangle .

Without expanding the determinant, prove that |[41, 1, 5],[79, 7, 9], [29, 5, 3]|=0

Without expanding, prove that [[41,1,5],[79,7,9],[29,5,3]] =0

Using vectors, prove that the following point are collinear: (7,9),(-1,1),(-5,-3)