The value of cosec 10^°-sqrt(3) sec 10^° is equal to:

=frac1sin 10^°-fracsqrt(3)cos 10^° =fraccos 10^°-sqrt(3) sin 10^°sin 10^° cos 10^° =4[frac(1 / 2) cos 10^°-fracsqrt(3)2 sin 10^°2 sin 10^° cos 10^°] =4[fracsin (30^°-10^°)sin 20^°] =4

The value of operator name cosec 10 sqrt3 sec 10 is eq... | null (Mathematics)

=\frac{1}{\sin 10^{\circ}}-\frac{\sqrt{3}}{\cos 10^{\circ}}\\

=\frac{\cos 10^{\circ}-\sqrt{3} \sin 10^{\circ}}{\sin 10^{\circ} \cos 10^{\circ}}\\

=4\left[\frac{\frac{1}{2} \cos 10^{\circ}-\frac{\sqrt{3}}{2} \sin 10^{\circ}}{2 \sin 10^{\circ} \cos 10^{\circ}}\right]\\

=4\left[\frac{\sin \left(30^{\circ}-10^{\circ}\right)}{\sin 20^{\circ}}\right]\\

=4

Explanation

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