Question

please solve this question

Answer 1

Take theta as alpha....

$a \cos( \alpha ) - b \sin( \alpha ) = c$

And that

$a \sin( \alpha ) + b \cos( \alpha ) = x$

Now square the both equations and add,

$a { \cos( \alpha ) }^{2} + a { \sin( \alpha ) }^{2} + b { \cos( \alpha ) }^{2} b + { \sin( \alpha ) }^{2} + ab \cos( \alpha ) \sin( \alpha ) - ab \cos( \alpha ) \sin( \alpha ) = {c}^{2} + {x}^{2}$

So we get

${a}^{2} + {b}^{2} = {c}^{2} + {x}^{2}$

Therefore,

$x = \sqrt{ {a}^{2} + {b}^{2} - {c}^{2} }$

Answer 2

solution in the pic....


☆☆☆☆☆hope it helps you☆☆☆☆☆