The graph shows an angle $a$a in standard position with its terminal side intersecting the circle at $P$P$\left(\frac{3}{5},\frac{4}{5}\right)$(35,45).

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A circle on a coordinate plane is depicted with its center at the origin. The graph shows an angle $a$a in standard position with its terminal side intersecting the circle at P $\left(\frac{3}{5},\frac{4}{5}\right)$(35,45).

Find the value of $\sin a$sina.

Find the value of $\cos a$cosa.

Find the value of $\tan a$tana.

Medium

2min

The graph shows an angle $a$a in standard position with its terminal side intersecting the circle at $P$P$\left(-\frac{21}{29},\frac{20}{29}\right)$(−2129,2029).

Medium

2min

The graph shows an angle $a$a in standard position with its terminal side intersecting the circle at $P$P$\left(-\frac{21}{29},\frac{20}{29}\right)$(−2129,2029).

Medium

2min

The graph shows an angle $a$a in standard position with its terminal side intersecting the circle at $P$P$\left(\frac{20}{29},-\frac{21}{29}\right)$(2029,−2129).

Medium

1min

Outcomes

F.IF.B.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

F.IF.B.6

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

F.TF.A.2

Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

F.TF.A.3 (+)

Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for x, π x, and 2π - x in terms of their values for x, where x is any real number.

6.02 Evaluating trigonometric functions

Interactive practice questions

Outcomes

F.IF.B.5

F.IF.B.6

F.TF.A.2

F.TF.A.3 (+)

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