Find the value of- sin-60-circ-cos-30-circ-cos-60-circ-cdot-sin-30-circ-

Question

Toppr Admin · Accepted Answer

To prove-xA0-sin60-x2218-cos30-x2218-cos60-x2218-x22C5-sin30-x2218-1L-H-S-xA0-sin60-x2218-cos30-x2218-cos60-x2218-x22C5-sin30-x2218- -x221A-32-x221A-32-12-12- 34-14- 1

Find the value of:
$sin 60^{\circ} cos 30^{\circ} + cos 60^{\circ} \cdot sin 30^{\circ}$

To prove: $sin 60^{\circ} c o s 30^{\circ} + c o s 60^{\circ} \cdot sin 30^{\circ} = 1$
L.H.S.: $sin 60^{\circ} cos 30^{\circ} + cos 60^{\circ} \cdot sin 30^{\circ}$

= $(\frac{\sqrt{3}}{2}) (\frac{\sqrt{3}}{2}) + (\frac{1}{2}) (\frac{1}{2})$

= $\frac{3}{4} + \frac{1}{4}$
= $1$

Find the value of: sin60∘cos30∘+cos60∘⋅sin30∘

To prove: sin60∘cos30∘+cos60∘⋅sin30∘=1L.H.S.: sin60∘cos30∘+cos60∘⋅sin30∘= (√32)(√32)+(12)(12)= 34+14= 1

Find the value of:
$sin 60^{\circ} cos 30^{\circ} + cos 60^{\circ} \cdot sin 30^{\circ}$

To prove: $sin 60^{\circ} c o s 30^{\circ} + c o s 60^{\circ} \cdot sin 30^{\circ} = 1$
L.H.S.: $sin 60^{\circ} cos 30^{\circ} + cos 60^{\circ} \cdot sin 30^{\circ}$

= $(\frac{\sqrt{3}}{2}) (\frac{\sqrt{3}}{2}) + (\frac{1}{2}) (\frac{1}{2})$

= $\frac{3}{4} + \frac{1}{4}$
= $1$