The expression is .
(Apply Trigonometric identity)
(Subtract
from each side)
(Simplify) \ \
(Substitute
)
(Evaluate power:
)
(Subtract:
)
(Take the square root of each side)
(Simplify) \ \
is in the third quadrant, sin
is negative,
Therefore .
To find csc .
(Apply reciprocal identity) \ \
(Substitute
)
(Simplify) \ \
The value of .