AP Pre-Calc Identities Quiz

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Test your knowledge of trigonometric identities and formulas in AP Pre-Calculus!

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joa

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AP Pre-Calc Identities Quiz


AP Pre-Calc Identities QuizOnline version Test your knowledge of trigonometric identities and formulas in AP Pre-Calculus! by joa 1 What is the Pythagorean identity for sine and cosine? a sin²(x) + cos²(x) = 0 b sin(x) + cos(x) = 1 c sin²(x) + cos²(x) = 1 d sin²(x) - cos²(x) = 1 2 What is the Pythagorean identity for sine and cosine? a sin²(x) + cos²(x) = 0 b sin(x) + cos(x) = 1 c sin²(x) + cos²(x) = 1 d sin²(x) - cos²(x) = 1 3 Which identity expresses tan(x) in terms of sin(x) and cos(x)? a tan(x) = cos(x) / sin(x) b tan(x) = 1 / sin(x) c tan(x) = sin(x) / cos(x) d tan(x) = sin²(x) / cos²(x) 4 Which identity is derived from sin²(x) + cos²(x) = 1 a sin(2x) = sin²(x) + cos²(x) b tan²(x) +1 = sec²(x) c sin(2x) = sin(x) + cos(x) d sin(2x) = 2sin²(x) 5 Which identity relates secant and cosine? a sec(x) = 1 / sin(x) b sec(x) = cos(x) / 1 c sec(x) = 1 / cos(x) d sec(x) = cos²(x) 6 If sin²(x) + cos²(x) = 1 what is 1-sin²(x) = a cos²(x) b tan²(x) c 1 d sec²(x) 7 Which is another way to sin(4x) a sin(2x) b 2sin(2x)cos(2x) c cos(2 + 2) = cos(2)cos(2) - sin(2)sin(2) d cos(4)= sin(2)sin(2) 8 Which identity expresses cotangent in terms of sine and cosine? a cot(x) = cos(x) / sin(x) b cot(x) = sin²(x) / cos²(x) c cot(x) = 1 / sin(x) d cot(x) = sin(x) / cos(x) 9 what is the derived identity of sin(x+y) = sin(x)cos(y) + cos(x)sin(y) a tan(2x) = 2tan(x) / (1 - tan²(x)) b sin(2x) = 2sin(x)cos(x) c cos(2x)=2cos(x)sin(x) d tan(2x) = tan²(x) + 1 10 what is the derived identity of cos(x+y) = cos(x)cos(y)-sin(x)sin(y) a sin(x+y) = sin(x)cos(y) + cos(x)sin(y) b cos(2x) = cos(x) - sin*x) c sin(180° + x) = -sin(x) d cos(2x) = cos²(x) - sin²(x) 11 Rewrite cot(x) + tan x only using sine and cosine a cos(2x) = 1 - sin²(x) b cos(2x) = 2cos²(x) c 1/sin(x)cos(x) = 2/sin(2x) d cos(2x) = cos(x) + sin(x) 12 Is this an identity? 1+cot^2x = sec^2x a Yes b No 13 Is this an identity? tan^2x - 1 = sec^2x a Yes b No 14 How many identities are there? a 5 b 6 c 7 d 8 15 Which is this graph? a cosecant b secant c cosine d sine 16 Which graph is this? a Cotangent b Cosine c Secant d Cosecant 17 Which graph is this? a Sine b Secant c Cotangent d Cosecant 18 What is the domain of cotangent? a 2 b 1 c all real numbers d all whole numbers 19 What is the range of cosecant? a (∞, -1] U [1,- ∞) b (-∞, -1] U [1,- ∞) c (∞, -1] U [1, ∞) d (-∞, -1] U [1, ∞) 20 What is cotangent? a sine/cosine b 1/cosine c cosine/sine d tangent/1 21 What is sec(pi/4)? a 2/√3 b √2 c √2/2 d 2

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AP Pre-Calc Identities Quiz

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About this activity

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AP Pre-Calc Identities QuizOnline version

by joa

What is the Pythagorean identity for sine and cosine?

What is the Pythagorean identity for sine and cosine?

Which identity expresses tan(x) in terms of sin(x) and cos(x)?

Which identity is derived from sin²(x) + cos²(x) = 1

Which identity relates secant and cosine?

If sin²(x) + cos²(x) = 1 what is 1-sin²(x) =

Which is another way to sin(4x)

Which identity expresses cotangent in terms of sine and cosine?

what is the derived identity of sin(x+y) = sin(x)cos(y) + cos(x)sin(y)

what is the derived identity of cos(x+y) = cos(x)cos(y)-sin(x)sin(y)

Rewrite cot(x) + tan x only using sine and cosine

Is this an identity? 1+cot^2x = sec^2x

Is this an identity? tan^2x - 1 = sec^2x

How many identities are there?

Which is this graph?

Which graph is this?

Which graph is this?

What is the domain of cotangent?

What is the range of cosecant?

What is cotangent?

What is sec(pi/4)?