Simplify without using tables and calculators sin 60° tan 30°

June 25, 2026Mathematics

ScanSolve AI Answer

June 25, 2026

Answer

$\frac{1}{2}$

Ili kurahisisha usemi $\sin 60^\circ \tan 30^\circ$ bila kutumia jedwali au kikokotoo, tutatumia thamani kamili za pembe maalum.

Step 1: Tambua thamani za $\sin 60^\circ$ na $\tan 30^\circ$ . Tunajua kwamba: $\sin 60^\circ = \frac{\sqrt{3}}{2}$ $\tan 30^\circ = \frac{1}{\sqrt{3}}$

Step 2: Badilisha thamani hizi kwenye usemi uliotolewa. $\sin 60^\circ \tan 30^\circ = \left(\frac{\sqrt{3}}{2}\right) \times \left(\frac{1}{\sqrt{3}}\right)$

Step 3: Rahisisha usemi. $\frac{\sqrt{3}}{2} \times \frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{2\sqrt{3}}$

Step 4: Futa $\sqrt{3}$ kutoka kwa namba na denominata. $\frac{\sqrt{3}}{2\sqrt{3}} = \frac{1}{2}$

Jibu la mwisho ni: $\frac{1{2}}$ Tuma swali linalofuata 📸

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Quick Answer

Ili kurahisisha usemi 60^ 30^ bila kutumia jedwali au kikokotoo, tutatumia thamani kamili za pembe maalum.

Asked on June 25, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 25, 2026

Ili kurahisisha usemi 60^ 30^ bila kutumia jedwali au kikokotoo, tutatumia thamani kamili za pembe maalum. Step 1: Tambua thamani za 60^ na 30^. Tunajua kwamba: 60^ = sqrt(3)2 30^ = (1)/(sqrt(3)) Step 2: Badilisha thamani hizi kwenye usemi uliotolewa. 60^ 30^ = (sqrt(3)2) × ((1)/(sqrt(3))) Step 3: Rahisisha usemi. sqrt(3)2 × (1)/(sqrt(3)) = sqrt(3)2sqrt(3) Step 4: Futa sqrt(3) kutoka kwa namba na denominata. sqrt(3)2sqrt(3) = (1)/(2) Jibu la mwisho ni: (1)/(2) Tuma swali linalofuata 📸