Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Questions  >>  Olympiad-Math  >>  Class 10
Answer
Comment
Share
Q)

In right triangle $ABC$, right angled at $C,$ if $\tan A = 1,$ then the value of $2 \sin A \cos A$ is

$\begin{array}{1 1}(A) \; 1 \\(B)\;2 \\(C)\;0 \\(D)\;-1 \end{array}$

1 Answer

Comment
A)
Solution :
Let BC = k and AC = k
$AB= \sqrt {(k)^2+(k)^2}$
$\quad= \sqrt {k^2+k^2}$
=> $AB = \sqrt {2k^2}$
$\qquad= \sqrt {2k}$
$\theta$
$2 \sin A \cos A = 2 \times \large\frac{k}{\sqrt 2 k} \times \frac{k}{\sqrt 2 k}$
$\qquad = 2 \times \large\frac{1}{2}$
$\qquad= 1$
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...