The terminal side of an angle in standard position passes through P(-3, -4). What is the value of tangent of theta? |
tangent of theta = 4/3 |

Francesca drew point (-2, -10) on the terminal ray of angle theta, which is in standard position. She found values for the six trigonometric functions using the steps below. |
IT IS NOT She made her first error in step 2 because she should have used a negative value for r. |

The point P(x, y) lies on the terminal side of an angle theta = 3pi/4 in standard position. What are the signs of the values of x and y? |
x is negative, and y is positive. |

If tangent of theta = -3/8, which expression is equivalent to cotangent of theta? |
1/(-3/8) |

Given that tangent of theta = -1, what is the value of secant of theta, for 3pi/2 < theta < 2pi? |
sqrt of 2 |

If sine of theta equals -0.7660, which of the following represents an approximate value of tangent of theta, for 180 degrees < theta < 270 degrees? |
1.1916 |

Keisha and David each found the same value for cosine of theta, as shown below, given sine of theta = -8/17 |
Both procedures are correct. |

Given that secant of theta = -37/12, what is the value of cotangent of theta , for pi/2 < theta < pi? |
-12/35 |

Given that sine of theta = 21/29, what is the value of cosine of theta, for 0° < theta < 90°? |
20/29 |

Fatima wants to find the value of sine of theta, given cotangent of theta = 4/7 Which identity would be best for Fatima to use? |
1 + cotangent-squared of theta = cosecant-squared of theta |

Three trigonometric functions for a given angle are shown below. sine of theta = -77/85 What are the coordinates of point (x, y) on the terminal ray of angle theta, assuming that the values above were not simplified? |
(36, -77) |

The terminal side of an angle in standard position passes through P(15, -8). What is the value of sine of theta? |
sine of theta = -8/17 |

The point (-sqrt of 2/2, sqrt of 2/2) is the point at which the terminal ray of angle theta intersects the unit circle. What are the values for the cosine and cotangent functions for angle theta? |
cosine of theta = -sqrt2/2, cotangent of theta=-1 |

Based on Pythagorean identities, which equation is true? |
cotangent-squared of theta – cosecant-squared of theta = -1 |

The point P(x, y) lies on the terminal side of an angle theta = -60° in standard position. What are the signs of the values of x and y? |
x is positive, and y is negative. |

Which Pythagorean identity is correct? |
tan-squared (theta) + 1 = sec-squared (theta) |

# Evaluating the Six Trigonometric Functions

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