Question

How do I find the exact value of tan 22.5 degrees?

Answer 1

you got a calculator?

Answer 2

mhm yes i do

Answer 3

there ya go

generally, sin cos and tan of 30, 60, and 90 degrees are suppose to be memorized

but any other degree, just grab a calculator

Answer 4

wait so i just input that into the calculator?

Answer 5

oh, one last thing, make sure your calculator is in degrees and not radians

Answer 6

and yes you jsut input that into a calculator

Answer 7

well depending on the calculator

Answer 8

it cant be decimals though

Answer 9

why not?

Answer 10

because my teacher wants it to be exact, so like in radicals and stuff

Answer 11

are you doing trig?

Answer 12

tan(x/2) = ±sin(x)) / (1 + cos(x))

Answer 13

hehe

Answer 14

do u know how to do it step by step?

Answer 15

i hate trig identities

Answer 16

@Hiroromon 22.5*2 = 45, thus "x" in the identity will be 45

Answer 17

and 45degrees is the simplest of the better known angles

Answer 18

using half angle identity

tan(x/2) = ±sin(x)) / (1 + cos(x))

tan(x/2) = tan (22.5 degrees)

means

x/2= 22.5 degrees

means x =45 degrees

means

tan(22.5 degrees) = ±sin(45 degrees )) / (1 + cos(45 degrees))

Answer 19

ok ...