tan230°+4sin245°+13cos230°=

$\tan^{2} 30 ° + 4 \sin^{2} 45 ° + \frac{1}{3} \cos^{2} 30 ° =$

A
$2 \frac{7}{12}$
B
$1 \frac{5}{12}$
C
$- 2 \frac{5}{12}$
D
$- 1 \frac{5}{12}$

Solution:

\tan^{2} 30 ° + 4 \sin^{2} 45 ° + \frac{1}{3} \cos^{2} 30 ° =

$= {(\frac{1}{\sqrt{3}})}^{2} + 4. {(\frac{1}{\sqrt{2}})}^{2} + \frac{1}{3} {(\frac{\sqrt{3}}{2})}^{2}$

$= \frac{1}{3} + 4. \frac{1}{2} + \frac{1}{3} . \frac{3}{4}$

$= \frac{1}{3} + \frac{1}{4} + 2$

$= \frac{4 + 3 + 24}{12}$

$= \frac{31}{12}$

$= 2 \frac{7}{12}$

Related content

SBTET Full Form

What is CSS Scholarship – Know About CSS (Central Sector Scholarship) Scholarship 2023

International Coffee Day

International Day for the Elderly

MPL Full Form – Mobile Premier League

How to Prepare for NTSE 2023-24: Best NTSE Preparation Tips?

RRB NTPC Eligibility 2023

NTSE (National Talent Search Exam) Scholarship Scheme: Details, Amount, Eligibility, Selection Process

Casual Leave Application for Office, Teachers, Government Offices with Format and Samples

NCVT Full Form – National Council for Vocational Training