Questions and Answers
What is the sine of a right triangle defined as?
Which equation represents the Pythagorean theorem?
What is the cosine of an angle in a right triangle?
What does the tangent of an angle represent in right triangle trigonometry?
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In trigonometry, which function is defined as the ratio of the opposite side to the hypotenuse?
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Study Notes
Sine in Right Triangle
- The sine of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse.
Pythagorean Theorem
- The Pythagorean theorem is represented by the equation (a^2 + b^2 = c^2), where (a) and (b) are the lengths of the legs, and (c) is the length of the hypotenuse.
Cosine in Right Triangle
- The cosine of an angle in a right triangle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.
Tangent in Right Triangle Trigonometry
- The tangent of an angle represents the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.
Trigonometric Function of Sine
- In trigonometry, the sine function is specifically the ratio of the opposite side to the hypotenuse of a right triangle.
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Description
Test your knowledge on the fundamental concepts of trigonometry including the definitions of sine, cosine, and tangent in right triangles. Discover how these functions relate to the Pythagorean theorem and the relationships between the sides of right triangles.
