মান নির্ণয়
(a+b+c) (b+c–a)=3bc(a+b+c)\ (b+c–a)=3bc(a+b+c) (b+c–a)=3bc হলে sin Asin\ Asin A এর মান হবে-
12\frac{1}{2} 21
13\frac{1}{\sqrt3}31
12 \frac{1}{\sqrt2}21
32\frac{\sqrt3}{2} 23
(b+c+a)(b+c−a)=3bc⇒(b+c)2−a2=3bc⇒b2+c2−a2=bc⇒b2+c2−a22bc=12⇒cosA=12⇒sinA=32\left(b+c+a\right)\left(b+c-a\right)=3bc \Rightarrow\left(b+c\right)^2-a^2=3bc \Rightarrow b^2+c^2-a^2=bc\\\\ \Rightarrow\frac{b^2+c^2-a^2}{2bc}=\frac{1}{2} \Rightarrow\cos{A}=\frac{1}{2}\Rightarrow\sin{A}=\frac{\sqrt3}{2} (b+c+a)(b+c−a)=3bc⇒(b+c)2−a2=3bc⇒b2+c2−a2=bc⇒2bcb2+c2−a2=21⇒cosA=21⇒sinA=23
tanθ=p হলে, cos2θ= কত? \tan \theta=p \text { হলে, } \cos 2 \theta=\text { কত? } tanθ=p হলে, cos2θ= কত?
যদি π2<θ<πএবংsinθ=35হয়, \frac{\pi}{2} < \theta < \pi এ ব ং \sin{\theta} = \frac{3}{5} হ য় , 2π<θ<πএবংsinθ=53হয়, তবে cosθ এর মান কত?
tan105∘=tan(60∘+45∘)\tan 105^{\circ}=\tan \left(60^{\circ}+45^{\circ}\right)tan105∘=tan(60∘+45∘) এর মান কত?
If cosθ=513\displaystyle \cos \theta =\frac{5}{13}cosθ=135, where θ\theta θ being an acute angle, then the value of cosθ+5cotθcosec θ−cosθ\dfrac{\cos \theta +5\cot \theta }{\text {cosec}\ \theta -\cos \theta }cosec θ−cosθcosθ+5cotθ will be
