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Warm up

Warm up. Find x. Round to the nearest foot. x. x = 25 ft. 100 ft. 51.3 °. 100 ft. 45 °. Lesson 12.1-12.2 Inverse Trig Functions. SWBAT use the inverse of sin, cos and tan to solve for a missing angle in a right triangle.

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Warm up

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  1. Warm up Find x. Round to the nearest foot. x x = 25 ft 100 ft 51.3° 100 ft 45°

  2. Lesson 12.1-12.2 Inverse Trig Functions SWBAT use the inverse of sin, cos and tan to solve for a missing angle in a right triangle.

  3. It is possible to determine the size of either acute angle in a right triangle if you know the lengths of any 2 sides of that triangle. To do this, you use the inverse function sin -1 cos -1 tan -1 Find them on your calculator – you must push the 2nd button first Trig – Inverse Functions • Anytime you use INVERSE trig you are findingan ANGLE

  4. Let’s look at some examples • Example 1: solve for x To get x alone you do the opposite of tan/sin/cos which is the inverse – tan-1 /sin-1/cos-1 Don’t forget the degree sign

  5. Let’s look at some examples • Example 2: solve for x To get x alone you do the opposite of tan/sin/cos which is the inverse – tan-1 /sin-1/cos-1

  6. Story Problems • Step 1 – Write an equation that represents the trig ratio. • Step 2 – Find the angle that has an approximate tangent value of (8/15) using your calculator (inverse tangent). • When using your calculator, calculate the inverse tan – (2nd, tan, 8/15, enter). Or you can use your trig table sheet, working backwards. (in the tan column look for the value of 8/15 ( . 5333 ), once you find it look back to the angle measure for that value) 8 in (opp) x 15 in ( adj )

  7. Inverse Functions • Ex 4. • Step 1 – • Step 2 - x 18 cm 15 cm

  8. Summary • How are the trig functions we learned about yesterday related to the ones we talked about today? Show how they are related.

  9. Homework • WS 12.1-12.2

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