<prompt> Tafuta sin 20circ dhambi 40circ dhambi 60circ dhambi 80circ dhambi 100circ dhambi 120circ dhambi 140circ dhambi 160circ .  <response>: Kwanza, tunajua sin 60circ sin 120circ fracsqrt32, hivyoanzaaligndhambi 20zingira dhambi 40zingira dhambi 60zingira dhambi 80zingira dhambi 100zingira dhambi 120zingira dhambi 140zingira dhambi 160zingira frac34 dhambi 20circ dhambi 40circ dhambi 80circ sin 100circ sin 140circ sin 160circ.mwishoalignTunaweza kisha kuandika sin 80circ sin 100circ cos 10circ, sin 140circ sin 40circ, dhambi 160circ dhambi 20circ, hivyoanzaalignfrac34 dhambi 20circ dhambi 40circ dhambi 80circ sin 100circ sin 140circ sin 160circ frac3 4 cos2 10zingira dhambi2 20zingira dhambi2 40zingira frac34 cos 10circ sin 20circ sin 40circ2.mwishoalignKwa jumla ya bidhaa,anzaaligncos 10circ sin 20circ sin 40circ cos 10circ cdot frac12 cos 20circ - cos 60circ frac12 cos 10circ left cos 20circ - frac12 kulia frac12 cos 10circ cos 20circ - frac14 cos 10circ frac14 cos 30circ cos 10circ - frac14 cos 10circ frac14 cos 30circ fracsqrt38.endalignKwa hivyo, usemi ni sawa na frac34 left fracsqrt38 kulia2 frac9256 . 