Posted by **lola** on Monday, January 16, 2012 at 7:11pm.

How do I get exact measures?

cosine 270 degrees

sin 90 degrees

tan 360 degrees

csc 45 degrees

no calculator!

- trig -
**MathMate**, Monday, January 16, 2012 at 7:45pm
The best way to solve these problems is to draw a unit circle (radius = 1), and calculate these ratios from the definitions (cosine = adjacent / hypotenuse, etc.)

The first three can be solved easily this way. The last one,

csc(45°)=1/sin(45°)

Knowing that sin(45)=cos(45), and

sin²(45)+cos²(45)=1, we solve for sin(45)=(√2)/2, so

csc(45)=2/√2 = √2.

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