Basic trigonometry problems are solved with detailed solutions.
Find the value of cos (- 390 o).
Solution:
- We apply the identity cos(-x) = cos(x) to write
cos (- 390 o) = cos (390 o) - While 390 degrees is greater than 360 degrees, we find a co terminal angle t, greater than zero and less than 360 degrees, to 390 degrees.
t = 390 - (360) = 30 o - while 390 degrees and angle t = 30 are co terminal, we can write
cos (390 o) = cos ( 30 o )
- Finally.
cos(- 330 o) = cos ( 330 o )
= cos (30) = sqrt (3) / 2
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