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Questions and Answers
What is the sine of a right triangle defined as?
What is the sine of a right triangle defined as?
- Adjacent side over hypotenuse
- Opposite side over adjacent side
- Opposite side over hypotenuse (correct)
- Hypotenuse over adjacent side
Which equation represents the Pythagorean theorem?
Which equation represents the Pythagorean theorem?
- $a^2 + b^2 = c^2$ (correct)
- $2a + 2b = c$
- $a^2 - b^2 = c^2$
- $a + b = c^2$
What is the cosine of an angle in a right triangle?
What is the cosine of an angle in a right triangle?
- Hypotenuse over opposite side
- Opposite side over hypotenuse
- Adjacent side over opposite side
- Adjacent side over hypotenuse (correct)
What does the tangent of an angle represent in right triangle trigonometry?
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?
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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