SOLUTION: Find sin x/2, cos x/2, and tan x/2from the given information. sec x = 9/8, 270° < x < 360°
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Question 1131784: Find sin x/2, cos x/2, and tan x/2from the given information. sec x = 9/8, 270° < x < 360°
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Find , , and from the given information:
, ° < < °
(in quadrant IV where )
Identities you need to use:
= ±
choose positive root because is in quadrant II where
= ±
= ±
choose negative root because is in quadrant II where
How to check answers with calculator:
≈ radians ≈° (reference angle in specified quadrant IV)
standard position of angle=°
º
reference angle=º
≈.......(in quadrant II where )
and above we have
.....which confirms our solution
you can check and tan in the same way
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