Write the value of sin 20-cos 20-sin 70-cos 70-

Let #160; #916;=sin #160;20 #176; #160; #160; #160; #160; cos #160;20 #176;sin #160;70 #176; #160; #160; #160; #160; #160; # ...

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Trigonometric Ratios of Multiples of an Angle

Write the val...

Question

Write the value of $|\begin{matrix} \sin 20 ° & - \cos 20 ° \\ \sin 70 ° & \cos 70 ° \end{matrix}|$ .

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Solution

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\frac{sin 20^{\circ} cos 70^{\circ} + cos 20^{\circ} sin 70^{\circ}}{sin 23^{\circ} c o sec 23^{\circ} + cos 23^{\circ} sec 23^{\circ}}

cos 20^{\circ} cos 70^{\circ} - sin 20^{\circ} sin 70^{\circ}

Find the value of ( $c o s 20^{\circ} - s i n 20^{\circ}$ ) (1+4 $s i n 20^{\circ} c o s 20^{\circ}$ )

\frac{3}{16}

- \frac{1}{8}

\frac{\sqrt{3}}{8}

\frac{1}{8}

\frac{\sqrt{3}}{16}

\frac{3}{16}

\frac{\sin 70 ° + \cos 40 °}{\cos 70 ° + \sin 40 °}

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