Question

How does one get from sin(π/4) to (√2/2)? As in what's the rule?

Answer 1

are you familiar that \(\pi / 4\) = 45 degrees?

Answer 2

yes

Answer 3

this is a picture of a 45-45-90 triangle if you look at that..sin (45) = opposite/hypotenuse = \(1/\sqrt 2\)

Answer 4

if i rationalize that i get \[\frac{1}{\sqrt 2} \times \frac{\sqrt 2}{\sqrt 2} = \frac{\sqrt 2}{2}\] got it?

Answer 5

so how does sin405 ° end up being (√2/2)

trigonometry

Answer 6

without a calculator. as in using the fact that the trigonometric functions are periodic

Answer 7

sin405 = sin (360 + 45) = sin 45

Answer 8

thanks

Answer 9

welcome~