Trigonometric Ratios Answers
Which statements are true for triangle LNM? Check all that apply.
Question text not available
Question text not available
Use the diagram and side lengths of triangle RST to determine the angles used for the trigonometric ratios.
RS✔ T
4/55/4✔ 3/55/3
3/4✔ 4/34/53/5
What are the angles that make the trigonometric statements true?
✔ ABC
Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal.
What are the values of the three trigonometric ratios for angle L, in simplest form? sin(L) = cos(L) = tan(L) =
Which statements are true regarding triangle LMN? Check all that apply.
What additional information would be necessary to determine sin(A) without using the Pythagorean theorem? Explain.
X 51050100
What is the value of tan(60°)?
Which triangle is similar to △ABC if sin(A) = One-fourth , cos(A) = StartFraction StartRoot 15 EndRoot Over 4 EndFraction , and tan(A) = StartFraction 1 Over StartRoot 15 EndRoot EndFraction ?
Explain why the value of the sine ratio for an acute angle of a right triangle must always be a positive value less than 1.
The sine of an acute angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. In any right triangle, the hypotenuse is the side opposite the 90-degree angle, making it the longest side. Because the side opposite an acute angle must be shorter than the hypotenuse, the numerator of the sine ratio is always smaller than the denominator. Therefore, the ratio must be a positive number less than 1.
3/44/3✔ 4/55/4
What did you include in your response? Check all that apply.
What are the angles that make the trigonometric statements true?
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