1. Triangular & Circular Functions

1.01 Review: The Pythagorean theorem

1.02 Trigonometric functions as right triangle ratios

1.03 Special right triangles and exact value trigonometric ratios

1.04 Degrees, radians, and angles as rotations

1.05 Trigonometric functions in the coordinate plane

1.06 Trigonometric functions on the unit circle

1.07 Evaluating trigonometric functions: exact values

1.08 Extension: Relating the tangent to the slope of a line

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Trigonometry

1.02 Trigonometric functions as right triangle ratios

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

Outcomes

T.1

Given a point on the terminal side of an angle in standard position, or the value of the trigonometric function of the angle, determine the sine, cosine, tangent, cotangent, secant, and cosecant of the angle

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