Question

value of sec²45°-tan²45°

Answer 1

_______________________________________sec²45°-tan²45°=1
using directly the identity formula.
i.e. sec²x-tan²x=1
x=45°
____________________________________
another method:
sec²45°-tan²45°=(√2)²-(1)²=2-1=1
sec²45°-tan²45°=1
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Answer 2

Given:-

Value of sec² 45° - tan² 45°

Solution:-

Value of sec² 45° - tan² 45° = 1.

$\bf\ ⇒ \: (\sqrt{2})^{2} \: - \: (1) ^{2}$(√ and ^2 Cancelled)

$\bf\ ⇒ \: 2 \: - \: 1$

$\bf\ ⇒{\boxed{1}}$

∴ Hence, Solved!