Question

sin^2 45 degree + cos^2 45 degree - tan^2 45 degree =?

Answer 1

We know that


sin45° =
$\frac{1}{ \sqrt{2} }$
cos45° =
$\frac{1}{ \sqrt{2} }$
and tan45° =
$1$


So sin²45° =
$( \frac{1}{ \sqrt{2} } ) {}^{2} = \frac{1}{2}$
cos²45° =
$( \frac{1}{ \sqrt{2} } ) {}^{2} = \frac{1}{2}$
and tan²45° =
${1}^{2} = 1$


So,

sin²45° + cos²45° - tan²45°

= 1/2 + 1/2 - 1

=> 2/2 - 1

=> 1 - 1

= 0

So the value of

sin²45° + cos²45° - tan²45°

= 0


Hope it helps dear friend ☺️✌️