Answer:
) ''You need to consider 200^o = 180^o + 20^o , hence you need to use the next formula to evaluate sin 200^o in terms of k:
sin (alpha + beta) = sin alpha*cos beta + sin beta*cos alpha
Plugging alpha = 180^o , beta = 20^o in the formula yields:
sin 200^o = sin (180^o + 20^o) = sin 180^o*cos20^o + sin 20^o*cos 180^o
Plugging sin 180^o = 0 and cos180^o = -1 in the formula yields:
sin 200^o = - sin 20^o = -k''
Step-by-step explanation:
''Given sin 20°=k express the following in terms of k a) sin 200° b) cos 20° c) tan(-20°) d) sin 70° Related to trigonometry.'' https://www.enotes.com/homework-help/given-sin-20-k-express-following-terms-k-sin-200-b-307263 hope this helps
