The trigonometric function is
.
(Write Pythagorean theorem)
(Substitute
)
(Apply rule of exponents)
(Subtract 25 from each side)
(Apply square root each side)
The trigonometric function
.
(Write trigonometric function)
(Apply half angle formula:
)
(Substitute
)
(Apply LCM rule:
)
(Subtract:
)
(Simplify)
The angle
lies in quadrant I, the function
is positive in quadrant II, so
.
(Write trigonometric function)
(Apply half angle formula:
)
(Substitute
)
(Apply LCM rule:
)
(Subtract:
)
(Simplify)
The angle
lies in quadrant I, the function
is positive in quadrant II, so
.
(Write trigonometric function)
(Apply half angle formula:
)
(Substitute
)
(Apply LCM rule:
)
(Subtract:
)
(Cancel common terms)
The solutions are
.