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Memorization Quiz

Memorization Quiz. Reciprocal Identities (6) Quotient identities (2) Pythagorean identities (3) Negative Angle identities (6). Warm up. Use the fundamental identities to find the remaining five trigonometric functions of x. Given cos x = , x is in quadrant I. sin x = tan x =

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Memorization Quiz

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  1. Memorization Quiz • Reciprocal Identities (6) • Quotient identities (2) • Pythagorean identities (3) • Negative Angle identities (6)

  2. Warm up Use the fundamental identities to find the remaining five trigonometric functions of x. Given cos x = , x is in quadrant I sin x = tan x = cot x = sec x = 5 cscx =

  3. Trig Game Plan Date: 11/18/13

  4. Example 1a: We Do EXPRESSING ONE FUNCITON IN TERMS OF ANOTHER Since sec x is related to both cos x and tan x by identities, start with Express cos x in terms of tan x. Take reciprocals. Reciprocal identity Take the square root of each side. The sign depends on the quadrant of x.

  5. Example 1b:We Do EXPRESSING ONE FUNCITON IN TERMS OF ANOTHER Express sin x in terms of cot x.

  6. Example 1c: You Do 2gether REWRITING AN EXPRESSION

  7. REWRITING AN EXPRESSION Example 1d: You Do 2gether

  8. REWRITING AN EXPRESSION IN TERMS OF SINE AND COSINE Example 2a: We Do Write tan θ+ cot θ in terms of sin θand cos θ, and then simplify the expression. Quotient identities Write each fraction with the LCD. Pythagorean identity

  9. REWRITING AN EXPRESSION Example 2b: We Do Write in terms of and , and then simplify the expression.

  10. REWRITING AN EXPRESSION Example 2c: You Do 2gether Write tan2x (1 + cot2x) in terms of cos x and sin x, and then simplify the expression. 1/ cos2x

  11. REWRITING AN EXPRESSION Example 2d: You Do 2gether

  12. REWRITING AN EXPRESSION Example 2e: You Do 2gether

  13. For example, we would not write An argument such as θ is necessary. Caution When working with trigonometric expressions and identities, be sure to write the argument of the function.

  14. Example 3: ERROR

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