Exercícios de trigonometria

Algebra and Trigonometry7.1 Angles

Exemplo 1Drawing an Angle in Standard Position Measured in DegreesⓐSketch an angle of 30° in standard position. ⓑSketch an angle of −135° in standard position.Mais um parecido para tentar
Exemplo 2Finding a Radian MeasureFind the radian measure of one-third of a full rotation.Mais um parecido para tentar
Exemplo 3Converting Radians to DegreesConvert each radian measure to degrees. ⓐ π/6 ⓑ3Mais um parecido para tentar
Exemplo 4Converting Degrees to RadiansConvert 15 degrees to radians.Mais um parecido para tentar
Exemplo 5Finding an Angle Coterminal with an Angle of Measure Greater Than 360°Find the least positive angle θ that is coterminal with an angle measuring 800°, where 0°≤θ<360°.Mais um parecido para tentar
Exemplo 6Finding an Angle Coterminal with an Angle Measuring Less Than 0°Show the angle with measure −45° on a circle and find a positive coterminal angle α such that 0°≤α<360°.Mais um parecido para tentar
Exemplo 7Finding Coterminal Angles Using RadiansFind an angle β that is coterminal with (19π)/4, where 0≤β<2π.Mais um parecido para tentar
Exemplo 8Finding the Length of an ArcAssume the orbit of Mercury around the sun is a perfect circle. Mercury is approximately 36 million miles from the sun. ⓐ In one Earth day, Mercury completes 0.0114 of its total revolution. How many miles does it…Mais um parecido para tentar
Exemplo 9Finding the Area of a SectorAn automatic lawn sprinkler sprays a distance of 20 feet while rotating 30 degrees, as shown in Figure 23. What is the area of the sector of grass the sprinkler waters? Figure 23 The sprinkler sprays 20 ft within an…Com figuraMais um parecido para tentar
Exemplo 10Finding Angular SpeedA water wheel, shown in Figure 24, completes 1 rotation every 5 seconds. Find the angular speed in radians per second. Figure 24Com figuraMais um parecido para tentar
Exemplo 11Finding a Linear SpeedA bicycle has wheels 28 inches in diameter. A tachometer determines the wheels are rotating at 180 RPM (revolutions per minute). Find the speed the bicycle is traveling down the road.Mais um parecido para tentar

Algebra and Trigonometry7.2 Right Triangle Trigonometry

Algebra and Trigonometry7.3 Unit Circle

Algebra and Trigonometry7.4 The Other Trigonometric Functions

Algebra and Trigonometry8.1 Graphs of the Sine and Cosine Functions

Algebra and Trigonometry8.2 Graphs of the Other Trigonometric Functions

Algebra and Trigonometry8.3 Inverse Trigonometric Functions

Algebra and Trigonometry9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions

Algebra and Trigonometry9.2 Sum and Difference Identities

Algebra and Trigonometry9.3 Double-Angle, Half-Angle, and Reduction Formulas

Algebra and Trigonometry9.4 Sum-to-Product and Product-to-Sum Formulas

Algebra and Trigonometry9.5 Solving Trigonometric Equations

Algebra and Trigonometry10.1 Non-right Triangles: Law of Sines

Algebra and Trigonometry10.2 Non-right Triangles: Law of Cosines

Algebra and Trigonometry10.3 Polar Coordinates

Algebra and Trigonometry10.4 Polar Coordinates: Graphs

Algebra and Trigonometry10.5 Polar Form of Complex Numbers

Algebra and Trigonometry10.6 Parametric Equations

Algebra and Trigonometry10.7 Parametric Equations: Graphs

Algebra and Trigonometry10.8 Vectors

Precalculus7.1 Solving Trigonometric Equations with Identities

Exemplo 9Rewriting a Trigonometric Expression Using the Difference of SquaresRewrite the trigonometric expression: 4 cos ^2 θ−1.Mais um parecido para tentar

Precalculus7.2 Sum and Difference Identities

Exemplo 4Finding the Exact Value of an Expression Involving an Inverse Trigonometric FunctionFind the exact value of sin( cos ^(−1) 1/2 + sin ^(−1) 3/5).

Precalculus7.3 Double-Angle, Half-Angle, and Reduction Formulas

Exemplo 3Using the Double-Angle Formulas to Establish an IdentityEstablish the following identity using double-angle formulas: 1+sin( 2θ)= ( sinθ+cosθ) ^2Mais um parecido para tentar

Precalculus7.4 Sum-to-Product and Product-to-Sum Formulas

Exemplo 5Evaluating Using the Sum-to-Product FormulaEvaluate cos( 15 ^∘)−cos( 75 ^∘).

Precalculus7.5 Solving Trigonometric Equations

Exemplo 3Solve the Trigonometric Equation in Linear FormSolve the equation exactly: 2cosθ−3=−5,0≤θ<2π.Mais um parecido para tentar

Precalculus7.6 Modeling with Trigonometric Functions