Question

find the value of tan²45°+cot²30°

Answer 1

Correct answer is 4 . Refer to the image attached for solution.

Answer 2

Solution :-

$:\implies\:\rm{tan^245°+cot^230°}$

Trigonometric values :-

$:\implies\:\rm{tan \:45 = 1 \:and\: cot\:30=\sqrt{3} }$

Substituting the values :-

$:\implies\:\rm{tan^245+cot^230}$

$:\implies\:\rm{(tan 30)^2+(cot 45)^2}$

$:\implies\:\rm{(1)^2+(\sqrt{3} )^2}$

$:\implies\:\rm{1+3}$

$:\implies\:\rm{4}$

∴ The value of the expression is 4.