Jeopardy Simplify Trig expressions Verify Trig Identities Find all Solutions Solutions with multiple angles Solutions with factoring Q $100 Q $200 Q $300.

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Presentation transcript:

Jeopardy Simplify Trig expressions Verify Trig Identities Find all Solutions Solutions with multiple angles Solutions with factoring Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question from Simplify Trig expressions Cos(x)Sec(x)

$100 Answer from Simplify Trig expressions 1

$200 Question from Simplify Trig expressions Cos 2 (x) 1 – cos^2(x)

$200 Answer from Simplify Trig expressions Cot 2 (x)

$300 Question from Simplify Trig expressions Tan(x) + 1 Sec(x)

$300 Answer from Simplify Trig expressions Sin(x) + Cos(x)

$400 Question from Simplify Trig expressions Cot(x) ( Tan(x) + Cot (x) )

$400 Answer from Simplify Trig expressions Csc 2 (x)

$500 Question from Simplify Trig expressions Sin 2 (x) – Tan 2 (x) Tan 2 (x)Sin 2 (x)

$500 Answer from Simplify Trig expressions

$100 Question from Verify Trig Identities Sin(x)Sec(x) = Tan(x)

$100 Answer from Verify Trig Identities Proofs will vary Sin(x) 1 Cos(x) Sin(x) Cos(x) Tan(x)

$200 Question from Verify Trig Identities Tan(x)Cot(x) = Cos(x) Sec(x)

$200 Answer from Verify Trig Identities Tan(x) 1/tan(x) Sec(x) 1 Sec(x) Cos(x)

$300 Question from Verify Trig Identities 1 – Cos(x) = Csc(x) – Cot(x) Sin(x)

$300 Answer from Verify Trig Identities 1 - Cos(x) Sin(x) Csc(x) - Cot(x)

$400 Question from Verify Trig Identities Sec 2 (x)Csc 2 (x) = Sec 2 (x) + Csc 2 (x)

$400 Answer from Verify Trig Identities (Tan 2 (x) + 1)Csc 2 (x) Tan 2 (x)Csc 2 (x) + Csc 2 (x) Sin 2 (x) 1 + Csc 2 (x) Cos 2 (x) Sin 2 (x) 1+ Csc 2 (x) Cos 2 (x) Sec 2 (x) + Csc 2 (x)

$500 Question from Verify Trig Identities Cos(x) + 1 – Sin(x) = 2Sec(x) 1 – Sin(x) Cos(x)

$500 Answer from Verify Trig Identities Cos(x)(1 + Sin(x)) + Cos(x)(1 – Sin(x)) 1 – sin 2 (x) Cos 2 (x) Cos(x) + Cos(x)Sin(x) + Cos(x) – Cos(x)Sin(x) Cos 2 (x) 2Cos(x) = 2 = 2 Sec(x) Cos 2 (x) Cos(x)

$100 Question from Find all Solutions Cos(x) = -1 2

$100 Answer from Find all Solutions X = 2 ∏ + 2∏n 3 X = 4 ∏ + 2 ∏n 3

$200 Question from Find all Solutions Sin(x) = √2 2

$200 Answer from Find all Solutions X = ∏ + 2 ∏n 4 X = 3 ∏ + 2 ∏n 4

$300 Question from Find all Solutions 3Tan(x) = √3

$300 Answer from Find all Solutions X = ∏ + ∏n 6

$400 Question from Find all Solutions 2Sin(x) + √3 = 0

$400 Answer from Find all Solutions X = 4 ∏ + 2 ∏n 3 X = 5 ∏ + 2 ∏n 3

$500 Question from Find all Solutions Sin(x) + 6 = -5Sin(x)

$500 Answer from Find all Solutions X = 3 ∏ + 2 ∏n 2

$100 Question from Solutions with Multiple Angles [0, 2∏) Cos(2x) = -√2 2

$100 Answer from Solutions with Multiple Angles [0, 2∏) X = 3 ∏, 5 ∏, 11 ∏, 13 ∏

$200 Question from Solutions with Multiple Angles [0, 2∏) Sin(3x) = √3 2

$200 Answer from Solutions with Multiple Angles [0, 2∏) X = ∏, 2 ∏, 7 ∏, 8 ∏, 13 ∏, 14 ∏ 9 9 9

$300 Question from Solutions with Multiple Angles [0, 2∏) Tan(4x) = -1

$300 Answer from Solutions with Multiple Angles [0, 2∏) X = 3 ∏, 7 ∏, 11 ∏, 15 ∏, ∏, 23 ∏, 27 ∏, 31 ∏

$400 Question from Solutions with Multiple Angles [0, 2∏) Tan(2x) = √3

$400 Answer from Solutions with Multiple Angles [0, 2∏) X = 2 ∏ 3

$500 Question from Solutions with Multiple Angles [0, 2∏) Cos(2X - ∏/4) = -√2 2

$500 Answer from Solutions with Multiple Angles [0, 2∏) X = ∏, 3 ∏, 3 ∏, 7 ∏

$100 Question from Solutions with factoring [0, 2∏) (Tan(x) + 1)(Sin(x) – 1) = 0

$100 Answer from Solutions with factoring [0, 2∏) X = ∏, 3 ∏, 7 ∏ 2 4 4

$200 Question from Solutions with factoring [0, 2∏) (2Cos(x) - √3)(2Sin(x) + 1) = 0

$200 Answer from Solutions with factoring [0, 2∏) X = ∏, 7 ∏, 11 ∏ 6 6 6

$300 Question from Solutions with factoring [0, 2∏) 2Sin 2 (x) + Sin(x) – 1 = 0

$300 Answer from Solutions with factoring [0, 2∏) X = ∏, 5 ∏, 3 ∏ 6 6 2

$400 Question from Solutions with factoring [0, 2∏) Sin 2 (x) + 2Sin(x) – 3 = 0

$400 Answer from Solutions with factoring [0, 2∏) X = ∏ 2

$500 Question from Solutions with factoring [0, 2∏) 9Tan 2 (x) – 27 = 0

$500 Answer from Solutions with factoring [0, 2∏) X = ∏, 2∏, 4∏, 5∏