Trigonometric Function Values of Special Angles

Trigonometric Function Values of Special Angles
Trigonometric Function Values of Special Angles
Trigonometric Function Values of Special Angles
463. 2 sin x –1 = 0, [0,2π)
464. sin x cos x = 0, (–∞, ∞)
465. sin x tan x = sin x, [0,2π)
466. 4 cos
2 x – 3 = 0, [0,2π)
467. cos
3 x cos x = 0, [0,2π)
For questions 468 to 472, solve the equation for x in the given interval. Use
inverse functions and refer to the following table, as needed. Use a calculator
and round answers to two decimal places when necessary.
Inverse Trigonometric Functions and Their Restricted Domains
Note: It is convenient to read = sin
–1 y as “ is the angle whose sine is y” and
similarly, for the other inverse functions.
468. tan x 3cot x = 4, [0°, 360°)
469. cos x = 1 sin x, [0,2π)
470. cos = , [0,2π)
471. sin(2x) = cos(2x), [0,2π)
472. 2 cos x sin x = 1, [0°,360°)
Solving Triangles
For questions 473 to 477, solve right triangle ABC, where ∠C = 90°. Round all
final measures to the nearest tenth. Note: Avoid rounding intermediate answers.
Instead use the “recall answer” feature of your calculator to use a value in a
subsequent calculation.
473.
474.
475.
476.
For questions 478 to 482, solve oblique triangle ABC. Round all final measures
to the nearest tenth. Refer to the following law of sines and law of cosines, as
needed.
477.
Law of Sines and Law of Cosines
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