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8. Triangular & Circular Functions
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Math 3

8.01 Trigonometric functions as right triangle ratios

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Interactive practice questions

Evaluate $\sin\theta$sinθ within $\triangle ABC$△ABC.

 

A right triangle labeled with vertices $A$A, $B$B, and $C$C. The right angle is located at vertex $C$C as indicated by the small square. Each of the non-right angles is marked with a small arc near the vertex. The triangle has two angles labeled: angle α (alpha) at vertex $A$A and angle θ (theta) at vertex $B$B. Side $BC$BC, opposite to angle α (alpha), measures 6 units. Side $AC$AC, opposite to angle θ (theta), measures 8 units. Side $AB$AB, the hypotenuse that is opposite to the right angle, measures 10 units. 
Easy
< 1min

Evaluate $\cos\theta$cosθ within $\triangle ABC$△ABC. Express your answer as a simplified fraction.

Easy
< 1min

Evaluate $\sin\theta$sinθ within $\triangle ABC$△ABC. Express your answer as a simplified fraction.

Easy
< 1min

Consider the triangle in the figure.

If $\cos\theta=\frac{6}{10}$cosθ=610​:

Easy
2min
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