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7th Edition

James Stewart + 2 others

Publisher: Brooks Cole

ISBN: 9781305071759

Chapter 6.4, Problem 14E

Textbook Problem

**Evaluating Inverse Trigonometric Functions** Use a calculator to find an approximate value (in radians) of each expression rounded to five decimal places, if it is defined.

**14.** tan^{−1}(−4)

Expert Solution

To determine

**To find:** Approximate value of

**Given:**

The inverse angle measure for tangent is

**Calculation:**

Use the

Adjust the scientific calculator for inverse functions key.

Then adjust for the radian mode.

Enter the value

Precalculus: Mathematics for Calculus (Standalone Book)

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Find the indicated...Ch. 6.6 - Law of Sines or Law of Cosines? Find the indicated...Ch. 6.6 - Law of Sines or Law of Cosines? Find the indicated...Ch. 6.6 - Law of Sines or Law of Cosines? Find the indicated...Ch. 6.6 - Law of Sines or Law of Cosines? Find the indicated...Ch. 6.6 - Law of Sines or Law of Cosines? Find the indicated...Ch. 6.6 - Law of Sines or Law of Cosines? Find the indicated...Ch. 6.6 - Law of Sines or Law of Cosines? Find the indicated...Ch. 6.6 - Herons Formula Find the area of the triangle whose...Ch. 6.6 - Herons Formula Find the area of the triangle whose...Ch. 6.6 - Herons Formula Find the area of the triangle whose...Ch. 6.6 - Herons Formula Find the area of the triangle whose...Ch. 6.6 - Herons Formula Find the area of the shaded figure,...Ch. 6.6 - Herons Formula Find the area of the shaded figure,...Ch. 6.6 - Herons Formula Find the area of the shaded figure,...Ch. 6.6 - Herons Formula Find the area of the shaded figure,...Ch. 6.6 - Area of a Region Three circles of radii 4, 5, and...Ch. 6.6 - Finding a Length In the figure, triangle ABC is a...Ch. 6.6 - Surveying To find the distance across a small...Ch. 6.6 - Geometry A parallelogram has sides of lengths 3...Ch. 6.6 - Calculating Distance Two straight roads diverge at...Ch. 6.6 - Calculating Distance A car travels along a...Ch. 6.6 - Dead Reckoning A pilot flies in a straight path...Ch. 6.6 - Navigation Two boats leave the same port at the...Ch. 6.6 - Navigation A fisherman leaves his home port and...Ch. 6.6 - Navigation Airport B is 300 mi from airport A at a...Ch. 6.6 - Triangular Field A triangular field has sides of...Ch. 6.6 - Towing a Barge Two tugboats that are 120 ft apart...Ch. 6.6 - Flying Kites A boy is flying two kites at the same...Ch. 6.6 - Securing a Tower A 125-ft tower is located on the...Ch. 6.6 - Cable Car A steep mountain is inclined 74 to the...Ch. 6.6 - CN Tower The CN Tower in Toronto, Canada, is the...Ch. 6.6 - Land Value Land in downtown Columbia is valued at...Ch. 6.6 - DISCUSS: Solving for the Angles in a Triangle The...Ch. 6.6 - PROVE: Projection Laws Prove that in triangle ABC...Ch. 6 - (a) How is the degree measure of an angle defined?...Ch. 6 - (a) When is an angle in standard position?...Ch. 6 - (a) In a circle of radius r, what is the length s...Ch. 6 - (a) Let be an acute angle in a right triangle....Ch. 6 - (a) What does it mean to solve a triangle? (b)...Ch. 6 - (a) Let be an angle in standard position, let...Ch. 6 - In each of the four quadrants, identify the...Ch. 6 - (a) Describe the steps we use to find the value of...Ch. 6 - (a) State the reciprocal identities. (b) State the...Ch. 6 - (a) What is the area of a triangle with sides of...Ch. 6 - (a) Define the inverse sine function, the inverse...Ch. 6 - (a) State the Law of Sines. (b) Find side a in the...Ch. 6 - (a) State the Law of Cosines. 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(a)...Ch. 6 - Find tan + sin for the angle shown.Ch. 6 - Express the lengths a and b shown in the figure in...Ch. 6 - If cos=13 and is in Quadrant III, find tan cot ...Ch. 6 - If ssin=513 and tan=512, find sec .Ch. 6 - Express tan in terms of sec for in Quadrant II.Ch. 6 - The base of the ladder in the figure is 6 ft from...Ch. 6 - Express in each figure in terms of x. (a) (b)Ch. 6 - Find the exact value of cos(tan1910).Ch. 6 - Find the side labeled x or the angle labeled . 13.Ch. 6 - Find the side labeled x or the angle labeled . 14.Ch. 6 - Find the side labeled x or the angle labeled . 15.Ch. 6 - Find the side labeled x or the angle labeled . 16.Ch. 6 - Find the side labeled x or the angle labeled . 17.Ch. 6 - Find the side labeled x or the angle labeled . 18.Ch. 6 - Refer to the figure below. (a) Find the area of...Ch. 6 - Refer to the figure below. (a) Find the angle...Ch. 6 - Two wires tether a balloon to the ground, as...Ch. 6 - Completing the Map Find the distance between the...Ch. 6 - Completing the Map Find the distance between the...Ch. 6 - Determining a Distance A surveyor on one side of a...Ch. 6 - Height of a Cliff To measure the height of an...Ch. 6 - Height of a Mountain To calculate the height h of...Ch. 6 - Determining a Distance A surveyor has determined...Ch. 6 - Surveying Building Lots A surveyor surveys two...Ch. 6 - Great Survey of India The Great Trigonometric...

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