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7.5 Day 2 Values of Trig Functions in Radians

7.5 Day 2 Values of Trig Functions in Radians. RADIANS!. Ex 1) If 0 ≤  < 2  and tan  = – 1.419 in QII, find  rounded to 4 decimals. Change calc mode to RADIANS!!!. QII. Find related angle:. 0.9569. . (Positive for ref  ). Keep value in calculator

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7.5 Day 2 Values of Trig Functions in Radians

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  1. 7.5 Day 2 Values of Trig Functions in Radians

  2. RADIANS! Ex 1) If 0 ≤ < 2 and tan  = – 1.419 in QII, find  rounded to 4 decimals Change calc mode to RADIANS!!! QII Find related angle: 0.9569  (Positive for ref ) Keep value in calculator Don’t round until last step!

  3. Speaker & Scribe (with calculator) - Each person will be given a different trig equation and asked to find the angle - You will give your calculator to your partner - As the “scribe” you are to key in EXACTLY what the “speaker” tells you to - When you are done with your equation, you switch roles - After both partners have solved for their angles, the angles should match!

  4. Example 2 Partner A Partner B If 0 ≤ < 2 and sec  = – 1.681 in QIII, find  rounded to 4 decimals If 0 ≤ < 2 and csc = – 1.244 in QIII, find  rounded to 4 decimals θ ≈ 4.0753 (Don’t round until last step!)

  5. Example 2Partner APartner B Find related angle:   (Positive for ref ) 0.9338 0.9337 QIII QIII Don’t round until last step!!

  6. Finding Errors Ex 3) The following are 2 incorrect methods of finding θwhen cot θ = 0.6494. Explain (write!) why each method is wrong and fix it to be correct. A) B) tan–1 should not be in the denominator! Take tan–1 of reciprocal of cot Correct:

  7. Finding Errors Ex 4) Johnny attempts to solve the following question as shown. Decide if his work is correct or incorrect and then justify your answer. If it is incorrect, fix the error. If 0 ≤ < 2 and tan  = –2.590 in QIV, find  Step 1:θ' = tan–1(2.590) ≈ 1.2023 Step 2: θ≈π + 1.2023 ≈ 4.3439 His work in incorrect. θ is in QIV He should have subtracted from 2 θ ≈2 – 1.2023 ≈ 5.0809 2 1.2023 QIV

  8. Homework #717 Pg. 418 37 – 59 odd

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