Please enter the following details
Value of the expression: $$\frac{1+2\ Sin\ 60^\circ Cos\ 60^\circ}{Sin\ 60^\circ + Cos\ 60^\circ}+\frac{1-2\ Sin\ 60^\circ Cos\ 60^\circ}{Sin\ 60^\circ - Cos\ 60^\circ}$$
Expression : $$\frac{1+2\ Sin\ 60^\circ Cos\ 60^\circ}{Sin\ 60^\circ + Cos\ 60^\circ}+\frac{1-2\ Sin\ 60^\circ Cos\ 60^\circ}{Sin\ 60^\circ - Cos\ 60^\circ}$$
=Â $$\frac{(sin^2\ 60^\circ+cos^2\ 60^\circ)+2\ Sin\ 60^\circ Cos\ 60^\circ}{Sin\ 60^\circ + Cos\ 60^\circ}+\frac{(sin^2\ 60^\circ+cos^2\ 60^\circ)-2\ Sin\ 60^\circ Cos\ 60^\circ}{Sin\ 60^\circ - Cos\ 60^\circ}$$
= $$\frac{(sin\ 60^\circ+cos\ 60^\circ)^2}{sin\ 60^\circ+cos\ 60^\circ}$$Â $$+\frac{(sin\ 60^\circ-cos\ 60^\circ)^2}{sin\ 60^\circ-cos\ 60^\circ}$$
= $$(sin\ 60^\circ+cos\ 60^\circ)+(sin\ 60^\circ-cos\ 60^\circ)$$
= $$2sin\ 60^\circ$$
= $$2\times\frac{\sqrt3}{2}=\sqrt3$$
=> Ans - (C)
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
