Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
166 views
in Trigonometry by (71.9k points)
closed by
if `sinA=1/2`, then the value of `cot A`
A. `sqrt(3)`
B. `1/sqrt(3)`
C. `sqrt(3)/2`
D. 1

1 Answer

0 votes
by (72.1k points)
selected by
 
Best answer
Correct Answer - A
Given, sinA=`1/2`
`therefore cosA=sqrt(1-sin^(2)A)=sqrt(1-(1/2)^(2))`
`=sqrt(1-1/4) = sqrt(3/4)=sqrt(3)/2` `[therefore sin^(2)A + cos^(2)=1 rArr cosA = sqrt(1-sin^(2)A)]`
Now, cotA = `(cosA)/(sinA)= (sqrt(3)/2)/(1/2)= sqrt(3)`
Hence, the required value of cot A is `sqrt(3)`.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...