Question

If sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Answer 1

sin
`x`=
`(opposite)/(hypotenuse)` =
`( √(2) )/(2)`
opposite=
`√(2)`
hypotenuse=2


`Adjacent^(2)`+
`(√(2 ))^(2 )`=
`2 ^(2)`

`Adjacent^(2)`+2=4

`Adjacent^(2)`=2
Adjacent=
`√(2)`

cos
`x`=
`(ajc)/(hyp)= ( √(2) )/(2)`
Tan
`x`=
`(opp)/(adj) = ( √(2) )/( √(2) )`