The trigonometric expression is
.
The above expression fits the formula for
.
Let the angles
.
The angle is
.
(Write Pythagorean theorem)
(Substitute
)
(Apply rule of exponents)
(Apply square root each side)
The function
.
The function
.
The angle is
.
(Write Pythagorean theorem)
(Substitute
)
(Subtract
from each side)
(Apply square root each side)
The function
.
(Write original expression)
(Substitute
)
(Apply difference formula:
)
(Substitute
)
(Simplify)
(Apply LCM rule:
)
The solution is
.