The trigonometric expression is .
, let
and place
in quadrant I.
The point P = (x, y) = (x, 3) = x > 0 is on a circle of radius, .
(Substitute
)
(Simplify)
(Subtract 9 from each side)
(Simplify)
(Simplify)
(x > 0)
(Substitute
, r = 5)
, let
and place
in quadrant II.
The point P = (x, y) = = y < 0 is on a circle of radius,
.
(Substitute
)
(Simplify)
(Subtract 20 from each side)
(Simplify)
(y < 0)
(Substitute
, r = 5)
a)
The sum formula for the sine function: .
Substitute .
(Simplify)
(Rewrite the expression with common denominator)
(Take out common term
)
(Simplify)
The value of .