What is csc(arccos(2x+3)) ?

The solution to csc(arccos(2x+3)) is (sqrt(-x^2-3x-2))/(2(-x^2-3x-2))

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simplify csc(arccos(2x+3))

simplify

csc (arccos (2 x + 3))

\frac{- x ^{2} - 3 x - 2}{2 ( - x ^{2} - 3 x - 2 )}

Solution steps

csc (arccos (2 x + 3))

Use the following identity:

csc (arccos (x)) = \frac{1 - x ^{2}}{1 - x ^{2}}

= \frac{1 - ( 2 x + 3 ) ^{2}}{1 - ( 2 x + 3 ) ^{2}}

Simplify

= \frac{- x ^{2} - 3 x - 2}{2 ( - x ^{2} - 3 x - 2 )}

- sin (x - 3 x)

- 0.4 a sin (0.4 (- 6))

1 - (cos (t + C))^{2}

sin (arcsin (a))

csc (arccos (\frac{x}{2}))

What is csc(arccos(2x+3)) ?
The solution to csc(arccos(2x+3)) is (sqrt(-x^2-3x-2))/(2(-x^2-3x-2))