Make the given changes in the indicated examples of this section and then solve the resulting problems.

In Example 2, add 40° to each angle, express in terms of the same function of a positive acute angle, and then evaluate.

Data from Example 2

same function determines quadrant sin 160 tan 110 = -tan (180 - 110) = cos 225 = -cos (225 - 180) = cot 260 +cot (260 - 180) = sec 304 sec 56 1.788 +sec (360 - 304) = sin 357 = -sin (360 - 357) = -sin 3= -0.0523 proper sign for function in quadrant +sin (180 - 160) = reference angle sin 20 = 0.3420 -tan 70 = -2.747 -cos 45 = -0.7071 cot 80 0.1763 = =