Get the solution to "How to find the value of csc⁡(3π4) ?"

Brock Brown

Answered question

2021-12-16

How to find the value of

\csc (\frac{3 π}{4})

Becky Harrison

Beginner2021-12-17Added 40 answers

The angle

(\frac{3 π}{4})

is in Quadrant 2 with a reference angle of

\frac{π}{4}

\sin (\frac{π}{4}) = \frac{1}{\sqrt{2}}

(it's one of the standard angles)
and in Quadrant 2,

\sin (x)

is positive, so

\sin (\frac{3 π}{4}) = \sin (\frac{π}{4}) = \frac{1}{\sqrt{2}}

\csc (x) = \frac{1}{\sin (x)}

\csc (\frac{3 π}{4}) = \sqrt{2}

Edward Patten

Beginner2021-12-18Added 38 answers

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

\csc (\frac{π}{4})

The exact value of

\csc (\frac{π}{4})

\sqrt{2}

The result can be shown in multiple forms.
Exact form:

\sqrt{2}

Decimal form:

1.41421356 \dots

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