Question

drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. match to form complementary - angle pairs. sin(66°) cos(76°) cos(49°) sin(53°) cos(66°) sin(41°) cos(37°) cos(24°) sin(49°) sin(14°)

Explanation:

Step1: Recall co - function identity

The co - function identity states that $\sin\theta=\cos(90^{\circ}-\theta)$ and $\cos\theta = \sin(90^{\circ}-\theta)$.

Step2: Match $\sin(66^{\circ})$

Since $\sin(66^{\circ})=\cos(90^{\circ} - 66^{\circ})=\cos(24^{\circ})$.

Step3: Match $\cos(76^{\circ})$

Since $\cos(76^{\circ})=\sin(90^{\circ}-76^{\circ})=\sin(14^{\circ})$.

Step4: Match $\cos(49^{\circ})$

Since $\cos(49^{\circ})=\sin(90^{\circ}-49^{\circ})=\sin(41^{\circ})$.

Step5: Match $\sin(53^{\circ})$

Since $\sin(53^{\circ})=\cos(90^{\circ}-53^{\circ})=\cos(37^{\circ})$.

Answer:

$\sin(66^{\circ})$ matches $\cos(24^{\circ})$; $\cos(76^{\circ})$ matches $\sin(14^{\circ})$; $\cos(49^{\circ})$ matches $\sin(41^{\circ})$; $\sin(53^{\circ})$ matches $\cos(37^{\circ})$