Question

Use the fact that the trigonometric functions are periodic to find the exact value of the expression.

sin405 degrees

tan405 degrees

csc 350

sin 9pi
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4

Answer 1

sin(405) = sin(405-360) = sin(45) = sqrt2/2

Answer 2

tan(405) = tan(45) = 1

Answer 3

I thought that the period for tan was 180

Answer 4

csc(350) = csc(-10) = -csc(10) = -1/sin(10) = -5.759

Answer 5

it is...so you go 2 periods but you still end up with reference angle of 45

Answer 6

okay gotcha!

Answer 7

please explain the csc

Answer 8

350 is not quite 1 period
350 -360 = -10

trig identity: csc(-theta) = -csc(theta)

Answer 9

how do u get this: 1/sin(10) = -5.759

Answer 10

the last one is identical to the first except its in radians
--> sin(9pi/4) = sqrt2/2

Answer 11

oh i used a calculator...if you have to have an exact expression you have to use double and half-angle formulas

Answer 12

list all the trig identities please

Answer 13

sin 9pi
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4 what about that problem?