Without using a calculator, give the exact trigonometric function value with rational denominator.
-csc 45°
A) 1
B) $\frac { 1 } { 2 }$
C) $\sqrt { 2 }$
D) $\frac { 2 \sqrt { 3 } } { 3 }$

Question

Without using a calculator, give the exact trigonometric function value with rational denominator.
-csc 45° 
A) 1
B) $\frac { 1 } { 2 }$
C) $\sqrt { 2 }$
D) $\frac { 2 \sqrt { 3 } } { 3 }$

Quizplus · Accepted Answer

The cosecant of 45° is the reciprocal of the sine of 45°, which is $\frac{1}{\sin(45°)} = \frac{1}{\frac{\sqrt{2}}{2}} = \sqrt{2}$.

Without Using a Calculator, Give the Exact Trigonometric Function Value 12\frac { 1 } { 2 }21​

Without Using a Calculator, Give the Exact Trigonometric Function Value $\frac { 1 } { 2 }$