ত্রিকোণমিতিক সূত্রাবলি ও ত্রিভুজের সূত্রাবলী
c+ab \frac{c + a}{b} bc+a এর মান কোনটি ?
2
23 \frac{2}{\sqrt{3}} 32
−32 - \frac{\sqrt{3}}{2} −23
∠C=180∘−(120∘+30∘)=30∘∴asinA=bsinB=csinC=2R∴asin30∘=bsin120∘=csin30∘=2R∴a12=2×1∣∣c12=2×1∣b32=2∴a=1∴c∴=1∴c+ab=1+13=23 \begin{array}{l}\angle C=180^{\circ}-\left(120^{\circ}+30^{\circ}\right)=30^{\circ} \\ \therefore \frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}=2 R \\ \therefore \frac{a}{\sin 30^{\circ}}=\frac{b}{\sin 120^{\circ}}=\frac{c}{\sin 30^{\circ}}=2 R \\ \therefore \frac{a}{\frac{1}{2}}=2 \times 1|\quad| \frac{c}{\frac{1}{2}}=2 \times 1 \mid \frac{b}{\frac{\sqrt{3}}{2}}=2 \\ \therefore a=1 \\ \therefore \frac{c}{\therefore}=1 \\ \therefore \frac{c+a}{b}=\frac{1+1}{\sqrt{3}}=\frac{2}{\sqrt{3}} \end{array} ∠C=180∘−(120∘+30∘)=30∘∴sinAa=sinBb=sinCc=2R∴sin30∘a=sin120∘b=sin30∘c=2R∴21a=2×1∣∣21c=2×1∣23b=2∴a=1∴∴c=1∴bc+a=31+1=32
If cos3π9+sin3π18=m4(cosπ9+sinπ18) \cos^3\frac{\pi}{9}+ \sin^3\frac{\pi}{18} = \dfrac{m}{4} \left( \cos\frac{\pi}{9}+ \sin\frac{\pi}{18}\right)cos39π+sin318π=4m(cos9π+sin18π).Find mmm
দৃশ্যকল্প-১: △ABC \triangle \mathrm{ABC} △ABC এর A=75∘,B−C=15∘ \mathrm{A}=75^{\circ}, \mathrm{B}-\mathrm{C}=15^{\circ} A=75∘,B−C=15∘
উদ্দীপক-১: XYZ ত্রিভুজে X+Y+Z=π X+Y+Z=\pi X+Y+Z=π
উদ্দীপক-২: sinα+sinβ=P \sin \alpha+\sin \beta=P sinα+sinβ=P এবং cosα+cosβ=Q \cos \alpha+\cos \beta=Q cosα+cosβ=Q