Question

Find the value of 2 tan²45⁰+sin² 30⁰+cos² 30⁰-sin 45⁰+cos 45⁰​

Answer 1

$\huge\green{\fbox{\underline{\underline{\maltese{Answer}\maltese}}}}$

$\large\pink{\underline{\underline{\maltese{Given:-}\maltese}}}$

• 2 tan²45⁰+sin² 30⁰+cos² 30⁰- sin 45⁰+cos 45⁰

$\large\pink{\underline{\underline{\maltese{Find:-}\maltese}}}$

• Find the value

$\large\pink{\underline{\underline{\maltese{Formula:-}\maltese}}}$

$\purple{\fbox{tan²45° = 1}}$

$\purple{\fbox{sin²30° = 1/√2}}$

$\purple{\fbox{cos²30° = 1/√2}}$

$\purple{\fbox{sin²a + cos²a = 1}}$

$\large\pink{\underline{\underline{\maltese{Solution:-}\maltese}}}$

2 tan²45°+sin² 30°+cos² 30°-sin 45°+cos 45°

=> 2 × (1)² + (sin² 30°+cos² 30°) - ($\frac{1}{\sqrt{2}}$)² + ($\frac{1}{\sqrt{2}}$)²

=> 2 × 1 + 1 - ($\frac{1}{2}$) + ($\frac{1}{2}$)

=> 3 - 0

=> 3

Valus = 3

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️