Posted by **Jus** on Sunday, May 31, 2009 at 12:05pm.

The angle 2x lies in the fourth quadrant such that cos2x=8/17.

1.Which quadrant contains angle x?

2. What is the measure of x, in radians?

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I know that angle 2x is in quadrant 4, but quadrant x...? I am not sure where it is and how to get the measure of it in radians.

- Trig -
**bobpursley**, Sunday, May 31, 2009 at 12:10pm
Half of quadrant 4 is half of 270deg to 360 deg, or 135 to 190 deg, quadrant 2.

- Trig -
**Reiny**, Sunday, May 31, 2009 at 12:57pm
switch your calculator to radians

enter

8

÷

17

=

to get .470588...

press 2ndF, then cos

to get 1.08084

This would be the radian measure in the first quadrant, but you are in the fourth,

so 2pi - 1.0804 = 5.20235

but this is 2x

so x = 5.20235/2

= 2.60117

(in degrees that would be 149.04º which is in compliance with what bobpursley told you above)

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