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angles. In this section, you will study how to find the trigonometric ratios of special Activity 2: What Makes You Special? 1. Given the angles of the triangles below, find the values of the six trigonometric ratios. Then answer the questions that follow. Let \( a \) be the leg of a \( 45^{\circ}-45^{\circ}-90^{\circ} \) Triangle. \( \sin 45^{\circ}= \) \( \qquad \) \( \csc 45^{\circ}= \) \( \qquad \) \( 45^{\circ} \) \( a \sqrt{2} \) a \( \cos 45^{\circ}= \) \( \qquad \) \( \sec 45^{\circ}= \) \( \qquad \) \( 45^{\circ} \) \( a \) \( \tan 45^{\circ}= \) \( \qquad \) \( \cot 45^{\circ}= \) \( \qquad \) Let \( a \) be the shorter leg of a \( 30^{\circ}-60^{\circ}-90^{\circ} \) Triangle. \( \sin 30^{\circ}= \) \( \qquad \) \( \csc 30^{\circ}= \) \( \qquad \) \( \cos 30^{\circ}= \) \( \qquad \) \( \sec 30^{\circ}= \) \( \qquad \) \( \tan 30^{\circ}= \) \( \qquad \) \( \cot 30^{\circ}= \) \( \qquad \) Let \( a \) be the leg of a \( 30^{\circ}-60^{\circ}-90^{\circ} \) Triangle. \( \sin 60^{\circ}= \) \( \qquad \) \( \csc 60^{\circ}= \) \( \qquad \) \( \cos 60^{\circ}= \) \( \qquad \) \( \sec 60^{\circ}= \) \( \qquad \) \( \tan 60^{\circ}= \) \( \qquad \) \( \cot 60^{\circ}= \) \( \qquad \) 5

          angles.
In this section, you will study how to find the trigonometric ratios of special

Activity 2: What Makes You Special?
1. Given the angles of the triangles below, find the values of the six trigonometric ratios. Then answer the questions that follow.
Let \( a \) be the leg of a \( 45^{\circ}-45^{\circ}-90^{\circ} \) Triangle.
\( \sin 45^{\circ}= \) \( \qquad \) \( \csc 45^{\circ}= \) \( \qquad \)
\( 45^{\circ} \)
\( a \sqrt{2} \)
a
\( \cos 45^{\circ}= \) \( \qquad \) \( \sec 45^{\circ}= \) \( \qquad \)
\( 45^{\circ} \)
\( a \)
\( \tan 45^{\circ}= \) \( \qquad \) \( \cot 45^{\circ}= \) \( \qquad \)
Let \( a \) be the shorter leg of a \( 30^{\circ}-60^{\circ}-90^{\circ} \) Triangle.
\( \sin 30^{\circ}= \) \( \qquad \) \( \csc 30^{\circ}= \) \( \qquad \)
\( \cos 30^{\circ}= \) \( \qquad \) \( \sec 30^{\circ}= \) \( \qquad \)
\( \tan 30^{\circ}= \) \( \qquad \) \( \cot 30^{\circ}= \) \( \qquad \)
Let \( a \) be the leg of a \( 30^{\circ}-60^{\circ}-90^{\circ} \) Triangle.
\( \sin 60^{\circ}= \) \( \qquad \) \( \csc 60^{\circ}= \) \( \qquad \)
\( \cos 60^{\circ}= \) \( \qquad \) \( \sec 60^{\circ}= \) \( \qquad \)
\( \tan 60^{\circ}= \) \( \qquad \) \( \cot 60^{\circ}= \) \( \qquad \)
5

angles.
In this section, you will study how to find the trigonometric ratios of special

Activity 2: What Makes You Special?
1. Given the angles of the triangles below, find the values of the six trigonometric ratios. Then answer the questions that follow.
Let a be the leg of a 45^∘-45^∘-90^∘ Triangle.
sin 45^∘= csc 45^∘=
45^∘
a √(2)
a
cos 45^∘= sec 45^∘=
45^∘
a
tan 45^∘= cot 45^∘=
Let a be the shorter leg of a 30^∘-60^∘-90^∘ Triangle.
sin 30^∘= csc 30^∘=
cos 30^∘= sec 30^∘=
tan 30^∘= cot 30^∘=
Let a be the leg of a 30^∘-60^∘-90^∘ Triangle.
sin 60^∘= csc 60^∘=
cos 60^∘= sec 60^∘=
tan 60^∘= cot 60^∘=
5

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