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7.5 The Other Trigonometric Functions

7.5 The Other Trigonometric Functions. 7.5 The Other Trig Functions. Objectives: Evaluate csc , sec and cot Vocabulary: Cosecant, Secant, Cotangent. Right Triangle Trig. Functions. Let  be an acute angle of a right triangle. 7.5 The Other Trig Functions.

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7.5 The Other Trigonometric Functions

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  1. 7.5 The Other Trigonometric Functions

  2. 7.5 The Other Trig Functions Objectives: Evaluate csc, sec and cot Vocabulary: Cosecant, Secant, Cotangent

  3. Right Triangle Trig. Functions Let  be an acute angle of a right triangle.

  4. 7.5 The Other Trig Functions If is a second quadrant angle and sin is 3/5, find the remaining five functions.

  5. 7.5 The Other Trig Functions Find the six trig functions for: 330°

  6. A S 30o 330o x T C Find the six trig functions of 330o . [Solution] First draw the 330o angle. Second, find the reference angle, 360o– 330o= 30o To compute the trig functions of the 30o angle, draw the “special” triangle or recall from the table. Determine the correct sign for the trig functions of 330o . Only the cosine and the secant are “+”.

  7. Find the six trig functions of 330o . [Solution] The six trig functions of 330o are:

  8. 7.5 The Other Trig Functions Find the six trig functions for:

  9. Find the six trig functions of . Before we write the functions, we need to determine the signs for each function. Remember “All Students Take Calculus”. Since the angle, , is located in the 3rd quadrant, only the tangent and cotangent are positive. All the other functions are negative.. y A S x T C

  10. 7.5 The Other Trig Functions Find the six trig functions for:

  11. We see that the angle is located in the 3rd quadrant. 0 radians We know that is the same as 45 , so the reference angle is 45 . Using the special triangle. A Note that the reference angle is . S T C Find the six trig functions for . We will first draw the angle to determine the quadrant.

  12. 7.5 The Other Trig Functions TB p. 286#13-27 odd skip 19 & 21

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