If sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.
1 answer:
Sin x = square root (2) / 2
In order for us to get for cos x and tan x, first we need to know what
Hypotenuse, Adjacent, and Opposite sides.
sin x = opposite / hypotenuse.
adjacent = square root (hypotenuse^2 - opposite^2)
adjacent = square root (2^2 - square root(2)^2)
adjacent = square root (4 - 2)
adjacent = square root (2)
cos x = adjacent / hypotenuse
tan x = opposite / adjacent..
cos x = square root (2) / 2
tan x = square root (2) / <span>square root (2) = 1
So, </span>cos x = square root (2) / 2 and tan x<span> = 1</span>
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