Question

Without using tables;solve: sin square 30degree cos square 30 degree + tan square 30 degree cos square 90 degree

Answer 1

Here we go......

we know
${ \sin( \alpha ) }^{2} + { \cos( \alpha ) }^{2} = 1 \\ \\ { = \sin(30) }^{2} + { \cos(30) }^{2} + { \tan(30) }^{2} + { \cos(30) }^{2} \\ \\ = {1}^{2} +( { \frac{1}{ \sqrt{3} }) }^{2} + { \sqrt{3} }^{2} \\ \\ = 1 + \frac{1}{3} + 3 \\ \\ = \frac{3 + 1 + 9}{3} \\ \\ = \frac{13}{3} \\ \\ here \: is \: your \: answer$