Question

cos² 45 ° + tan² 45º - 3 sin² 90 °​

Answer 1

-3/2

Step-by-step explanation:

cos^2 45° + tan^2 45° + 3sin^2 90°

= (1/√2)^2 + (1)^2 - 3(1)^2 = 1/2 + 1 - 3

=( 1 +2- 6)/2 = - 3/2

Answer 2

Step-by-step explanation:

$\sf We \: have,$

$\blue{\sf \cos² 45 ^{\circ} + \tan² 45^{\circ} - 3 \sin² 90^{\circ} }$

$\sf : \implies \bigg( \dfrac{1}{\sqrt{2}} \bigg)^2 + (1)^2-3(1)^2$

$\sf : \implies \dfrac{1}{2} + 1-3$

$\sf : \implies \dfrac{1}{2} -2$

$\sf : \implies \blue{ \underline{ \boxed{\dfrac{-3}{2} }}}$