5272道题目5525 条题源记录 · 相同内容已合并
三角函数・单位圆与弧度挑战
In right triangle \( JKL \), the tangent of \( ∠L \) is \( \frac{3}{4} \). What is the length of \( JK \) ?
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三角函数・单位圆与弧度挑战
In right triangle RST, the sum of the measures of angle R and angle S is 90 degrees. The value of sin(R) is \( \frac{2\sqrt{10}}{7} \). What is the value of cos(S)?
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三角函数・单位圆与弧度进阶
In the triangle shown, RS= \( \sqrt{133} \) . What is the value of sin R?
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三角函数・单位圆与弧度进阶
In ΔABC, ∠B is a right angle and the length of \( BC \) is 260 millimeters. If cos A = \( \frac{3}{5} \), what is the length. in millimeters, of \( AB \) ?
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三角函数・单位圆与弧度进阶
What is the value of cos A in the triangle shown?
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三角函数・单位圆与弧度进阶
Which of the following is equivalent to cos \( \frac{π}{3} \) ?
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三角函数・单位圆与弧度挑战
An angle has a measure of \( \frac{13π}{6} \) radians. What is the measure of the angle in degrees?
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三角函数・单位圆与弧度挑战
In triangle XYZ, angle Y is a right angle, the measure of angle Z is 39 ° , and the length of \( YZ \) is 22 units. If the area, in square units, of triangle XYZ can be represented by the expression k tan 39 ° , where k is a constant, what is the value of k?
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三角函数・单位圆与弧度进阶
Point N lies on a unit circle in the xy-plane and has coordinates (1,0). Point O is the center of the circle and has coordinates (0,0). Point M also lies on the unit circle, and the measure of angle NOM is \( \frac{272π}{3} \) radians. If the coordinates of point M are (a, b), where a and b are constants, what is the value of a ?
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三角函数・单位圆与弧度进阶
RS = 320
ST =156
TR = 356
The side lengths of right triangle RST are given. Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tan W?
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三角函数・单位圆与弧度挑战
In triangle XYZ, angle Y is a right angle, the measure of angle Z is 31 °, and the length of \( YZ \) is 24 units. If the area, in square units, of triangle XYZ can be represented by the expression k tan 31°, where k is a constant, what is the value of k?
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三角函数・单位圆与弧度进阶
In right triangle ABC, angles A and B are acute, side AC has a length of 29.5, and tanB = \( \frac{1}{9} \) . What is the length of side BC, rounded to the nearest tenth?
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