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Questions and Answers
What is the Pythagorean identity for sine and cosine?
What is the double angle identity for sine?
What is the half angle identity for cosine?
What is the trigonometric identity for tangent in terms of sine and cosine?
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What is the reciprocal identity for secant?
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What is the co-function identity for sine?
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Which of the following is NOT one of the primary trigonometric functions?
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What are the trigonometric identities based on?
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Which of the following is NOT a trigonometric function?
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For which type of triangles do the trigonometric identities hold true?
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What do the trigonometric identities involve?
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Study Notes
Trigonometric Identities
- The Pythagorean identity for sine and cosine is sin²(x) + cos²(x) = 1.
- The double angle identity for sine is sin(2x) = 2sin(x)cos(x).
- The half angle identity for cosine is cos(x/2) = ±√((1 + cos(x))/2).
Trigonometric Functions
- The trigonometric identity for tangent in terms of sine and cosine is tan(x) = sin(x)/cos(x).
- The reciprocal identity for secant is sec(x) = 1/cos(x).
Co-Function Identity
- The co-function identity for sine is sin(Ï€/2 - x) = cos(x).
Primary Trigonometric Functions
- The primary trigonometric functions are sine, cosine, tangent, cotangent, secant, and cosecant.
- The primary trigonometric functions do not include versine.
Bases of Trigonometric Identities
- Trigonometric identities are based on the ratios of sides in right-angled triangles.
Types of Triangles
- Trigonometric identities hold true for right-angled triangles.
Trigonometric Identities Involvement
- Trigonometric identities involve the relationships between the angles and side lengths of right-angled triangles.
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Description
Test your knowledge of trigonometric functions and identities with this comprehensive quiz. From reciprocal and Pythagorean identities to sum and difference of angles and product-sum identities, this quiz covers a wide range of topics in trigonometry. Challenge yourself and see how well you understand these fundamental concepts.
