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

Question

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

Quizplus · Accepted Answer

The sine of 45° is known to be $\frac{\sqrt{2}}{2}$ due to the properties of an isosceles right triangle, where the sides opposite and adjacent to the 45° angle are equal, leading to this exact value.

Without Using a Calculator, Give the Exact Trigonometric Function Value 32\frac { \sqrt { 3 } } { 2 }23​​

Without Using a Calculator, Give the Exact Trigonometric Function Value $\frac { \sqrt { 3 } } { 2 }$