Introduction of Trigonometry — Maths STD 10 — Question
CBSE BoardEnglish MediumSTD 10MathsIntroduction of Trigonometry1 Mark
Question
If $\tan\text{A}=1,$ then $2\sin\text{A}\cos\text{A}=$ ________.
✓
Answer
If $\tan\text{A}=1,$ then $2\sin\text{A}\cos\text{A}=1.$ Solution:
Value of $2\sin\text{A}\cos\text{A}=1$
Given,
$\tan\text{A}=1$
$\Rightarrow\tan\text{A}=\tan45$
$\Rightarrow\text{A}=45$
Value of $2\sin\text{A}\cos\text{A}=1$
$=\sin2\text{A}$
$=\sin(2\times45)$
$=\sin90$
$=1$
$\therefore$ Value of $2\sin\text{A}\cos\text{A}=1$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.