5272道题目5525 条题源记录 · 相同内容已合并
三角函数・单位圆与弧度进阶
In right triangle \( ABC \), the tangent of \( ∠C \) is \( \frac{3}{4} \). What is the length of \( AB \) ?
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三角函数・单位圆与弧度进阶
For two acute angles X and Y, the measure of angle Y is 32° and \( \frac{sinX}{cosY}=1 \). What is the measure, in degrees, of angle X?
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三角函数・单位圆与弧度进阶
For two acute angles \( X \) and \( Y \), the measure of angle \( Y \) is 47° and \( \frac{sinX}{cosY}=1 \). What is the measure, in degrees, of angle \( X \)?
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三角函数・单位圆与弧度进阶
Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D and angle C corresponds to angle F. Angles C and F are right angles . If \( tanA=\frac{612}{35} \) , what is the value of \( sinD \)?
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三角函数・单位圆与弧度进阶
In triangle \( QRS \) shown, \( QR<RS \). Which expression represents the length of \( QS \) ?
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三角函数・单位圆与弧度进阶
In the right triangle shown, a, b, and c are positive constants. For an acute angle D, \( sinD=\frac{b}{c} \). What is the measure of angle D, in degrees?
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三角函数・单位圆与弧度进阶
What is the value of \( tanX \) in the triangle shown?
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三角函数・单位圆与弧度挑战
In triangle \( XYZ \), the measure of angle \( X \) is \( 90^{∘} \). Point \( W \) lies on segment \( YZ \), and segment \( WX \) is perpendicular to segment \( YZ \). The length of segment \( WY \) is 668, and the length of segment \( WX \) is 501. What is the value of \( tanZ \)?
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三角函数・单位圆与弧度进阶
The measure of angle F is 145 degrees. The measure of angle G is \( \frac{π}{2} \) radians less than the measure of angle F. The measure of angle H is 10 degrees more than the measure of angle G. What is the measure of angle H, in radians?
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三角函数・单位圆与弧度挑战
Which expression represents the length of line segment AB?
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三角函数・单位圆与弧度挑战
For which of the following triangles is \( cosP=\frac{1}{2} \)?
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三角函数・单位圆与弧度挑战
For angle A, the value of \( tanA=\frac{\surd 3}{3} \). Which of the following could be the measure of angle A, in radians?
I. \( \frac{25π}{6} \)
II. \( \frac{53π}{6} \)
III.\( \frac{77π}{6} \)
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