# Thread: exact values.. sin, cos, tan, cot, csc, sec...

1. ## exact values.. sin, cos, tan, cot, csc, sec...

Is there anywhere on the web I can find a chart of the exact values (in fractions, square roots) for sin, cos, tan, sec, csc, cot values...?

all in degrees...

cot (-150)

sec (-330)

csc (-210)

sec (-450)

csc (-675)

sec (315)

sin (-120)

cos (-90)

tan (-135)

cot 930

sin 630

My teacher gave us the unit circle chart and a chart of the basic values for sin, cos, tan, csc, sec, cot for 0, 30, 45, 60, and 90 degrees (for example, cos of 30 degrees = sq rt (3)/2 ). I just don't know what to do with them to solve for the other problems.

2. Hello,

You should recognize some things :

Every quoted function is 360-periodic.

f(-150)=f(-150+360)=f(210)=f(180+30)

f(-330)=f(-330+360)=f(30)

f(-210)=f(-210+360)=f(150)=f(180-30)

f(-450)=f(-450+360)=f(-90)

etc...

Use the definitions of the functions or the chart to find the values. Always try to get to known values, only by additions and substractions.

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# cos 450 degrees exact value

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