Find the value of 2sin30 -cos0 -3sin90 -

2sin 30 +cos 0 +3sin 90 2( 1 2 #160; ) +1+3( 1 ) 1+1+3=5 ...

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Circular Measurement of Angle

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Question

Find the value of ${2 sin 30}^{\circ} + {cos 0}^{\circ} + 3 {sin 90}^{\circ}$ .

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Solution

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\frac{4}{5} \tan^{2} 60^{°} + 3 \sin^{2} 60^{°}

\frac{\tan 60}{\sin 60 + \cos 60}

\cos^{2} 45^{°} + \sin^{2} 30^{°}

\frac{5 {sin}^{2} 30^{\circ} + {cos}^{2} 45^{\circ} + 4 {tan}^{2} 60^{\circ}}{2 sin 30^{\circ} cos 60^{\circ} + tan 45^{\circ}}

cos 0^{\circ} + sin 90^{\circ} + \sqrt{2} sin 45^{\circ}

2 \sqrt{2} cos 45^{\circ} cos 60^{\circ} + 2 \sqrt{3} sin 30^{\circ} tan 60^{\circ} - cos 0^{\circ}

2 sin 30^{\circ} cos 30^{\circ}

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