Solve the following equations.
0. Functions
Introduction to Trigonometric Functions
- Textbook Question118views
- Textbook Question
Solve the following equations.
104views - Textbook Question
Solve the following equations.
{Use of Tech}
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Solving equations Solve each equation.
√2 sin 3Θ + 1 = 2, 0 ≤ Θ ≤ π
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Solving equations Solve each equation.
sin² 2Θ = 1/2, -π/2 ≤ Θ ≤ π/2
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In Exercises 65–68, ABC is a right triangle with the right angle at C. The sides opposite angles A, B, and C are a, b, and c, respectively.
a. Find a and b if c = 2, B = π/3.
b. Find a and c if b = 2, B = π/3.
84views - Textbook Question
In Exercises 65–68, ABC is a right triangle with the right angle at C. The sides opposite angles A, B, and C are a, b, and c, respectively.
a. Express sin A in terms of a and c.
b. Express sin A in terms of b and c.
92views - Textbook Question
Two wires stretch from the top T of a vertical pole to points B and C on the ground, where C is 10 m closer to the base of the pole than is B. If wire BT makes an angle of 35° with the horizontal and wire CT makes an angle of 50° with the horizontal, how high is the pole?
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Observers at positions A and B 2 km apart simultaneously measure the angle of elevation of a weather balloon to be 40° and 70°, respectively. If the balloon is directly above a point on the line segment between A and B, find the height of the balloon.
69views - Textbook Question
A hot-air balloon rising straight up from a level field is tracked by a range finder located 500 ft from the point of liftoff. Express the balloon’s height as a function of the angle the line from the range finder to the balloon makes with the ground.
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A point P in the first quadrant lies on the parabola 𝔂 = 𝔁². Express the coordinates of P as functions of the angle of inclination of the line joining P to the origin.
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Evaluating trigonometric functions Without using a calculator, evaluate the following expressions or state that the quantity is undefined.
cos (2π/3)
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Evaluating trigonometric functions Without using a calculator, evaluate the following expressions or state that the quantity is undefined.
tan (15π/4)
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Evaluating trigonometric functions Without using a calculator, evaluate the following expressions or state that the quantity is undefined.
sec (7π/6)
128views - Textbook Question
Evaluating trigonometric functions Without using a calculator, evaluate the following expressions or state that the quantity is undefined.
sec (5π/2)
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