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 \( FGH \) shown, what is the value of \( cosF \)?
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三角函数・单位圆与弧度挑战
The measure of angle S is \( \frac{8π}{11} \) radians. The measure of angle T is 2 times the measure of angle S. Which expression represents the measure, in degrees, of angle T?
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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 JKL, the measure of angle J is 90b°, the measure of angle K is 66a°, and the measure of angle L is 24a°, where a and b are constants. Which of the following must be true?
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三角函数・单位圆与弧度进阶
The measure of angle G is \( \frac{π}{9} \) radians. If the measure of angle G is \( 2n \) degrees, where n is a constant, what is the value of n?
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三角函数・单位圆与弧度进阶

In triangles \( RST \) and \( XYZ \) shown, \( XY \) is parallel to \( TS \) and \( tanR=\frac{120}{391} \) . What is the value of \( sinX \) in triangle \( XYZ \)?
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三角函数・单位圆与弧度进阶

In triangle \( QRS \) shown, \( QR<RS \). The length of one side is 22. Which expression represents the length of \( QS \) ?
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三角函数・单位圆与弧度进阶
Which measure, in radians, is equivalent to \( (47·180)° \)?
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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・单位圆与弧度挑战
In triangle RST, RS=ST and the length of \( RT \) is 76 units. If \( tanR=\frac{9}{38} \), what is the area, in square units, of triangle RST?
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三角函数・单位圆与弧度挑战

In the figure, \( AD \) and \( BC \) intersect at point D. The measure of \( ∠ABD \) is w°, the measure of \( ∠CAD \) is z°, and AD=143. If \( cosw°=\frac{9}{41} \), what is the value of \( tanz° \)?
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三角函数・单位圆与弧度进阶
In triangle LMN, the measure of angle L is 90°, MN=105, and LM=2. What is the value of \( tanM \)?
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