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Trigonometry (MindTap Course List)

8th Edition
Charles P. McKeague + 1 other
Publisher: Cengage Learning
ISBN: 9781305652224
BuyFindarrow_forward

Trigonometry (MindTap Course List)

8th Edition
Charles P. McKeague + 1 other
Publisher: Cengage Learning
ISBN: 9781305652224
Chapter 2.1, Problem 52PS
Textbook Problem
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For each expression that follows, replace x with 30°, y with 45°, and z with 60°, and then simplify as much as possible. 2 cos ( 90 ° z )

To determine

To simplify:

The expression for given value of z.

Explanation of Solution

Given information:

  1. Expression which needs to be simplify is as follows
  2. 2cos(90z)

  3. Value of z=60

Formula used:

Exact value table is as follows

θ sinθ cosθ tanθ
30 12 32 13
45 12 12 1
60 32 12 3
90 1 0 undefined

Calculation:

Need to simplify following expression

2cos(90z)

………

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Chapter 2 Solutions

Trigonometry (MindTap Course List)
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a....Ch. 2.3 - Given right triangle ABC with C = 90, if A = 58...Ch. 2.3 - Given right triangle ABC with C = 90, if a = 58 cm...Ch. 2.3 - A Ferris wheel has a radius of 45 feet and the...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. 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If the ship...Ch. 2.5 - Navigation If a navigation error puts a plane 1.9...Ch. 2.5 - Velocity of a Bullet A bullet is fired into the...Ch. 2.5 - Velocity of a Bullet A bullet is fired into the...Ch. 2.5 - Distance Traveled by a Bullet Use the results of...Ch. 2.5 - Distance Traveled b a Bullet Use the results of...Ch. 2.5 - Distance A ship travels 130 kilometers on a...Ch. 2.5 - Distance A plane flies for 3 hours at 320...Ch. 2.5 - Velocity of an Arrow An arrow is shot into the air...Ch. 2.5 - Velocity of an Arrow the horizontal and vertical...Ch. 2.5 - Distance A plane travels 170 miles on a bearing of...Ch. 2.5 - Distance A ship travels in the direction S 120 E...Ch. 2.5 - Static Equilibrium Repeat the swing problem shown...Ch. 2.5 - Static Equilibrium The diagram in Figure 18 of...Ch. 2.5 - Force An 8.0-pound weight is lying on a sit-up...Ch. 2.5 - Force Repeat Problem 43 for a 25.0-pound weight...Ch. 2.5 - Force Danny and Stacey have gone from the swing...Ch. 2.5 - Wrecking Ball A 2.200-pound wrecking ball is held...Ch. 2.5 - Work A package is pushed across a floor a distance...Ch. 2.5 - Work A package is pushed across a floor a distance...Ch. 2.5 - Work Mark pulls Allison and Manic in a wagon by...Ch. 2.5 - Work An automobile is pushed down a level street...Ch. 2.5 - Draw 135 in standard position, locate a convenient...Ch. 2.5 - Draw –270 in standard position, locate a...Ch. 2.5 - Find sin and cos lf the terminal side of lies...Ch. 2.5 - Find sin and cos if the terminal side of lies...Ch. 2.5 - Find x if the point (x, –8) is on the terminal...Ch. 2.5 - Find lithe point (–6, y) is on the terminal side...Ch. 2.5 - If a vector V has magnitude 28 and makes an angle...Ch. 2.5 - If a vector V has horizontal and vertical vector...Ch. 2.5 - Jadon is 5 years old and weighs 45.0 pounds. He is...Ch. 2.5 - A package is pushed across a floor a distance of...Ch. 2 - Find sin A, cos A, tan A, and sin B, cos B, and...Ch. 2 - Find sin A, cos A, tan A, and sin B, cos B, and...Ch. 2 - Find sin A, cos A, tan A, and sin B, cos B, and...Ch. 2 - Use Definition II to explain why, for any acute...Ch. 2 - Fill in the blank to make the statement true: sin...Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible. Add...Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - Geometry If the altitude of an isosceles triangle...Ch. 2 - Angle of Elevation If the angle of elevation of...Ch. 2 - Distance Two guy wires from the top of a 35-foot...Ch. 2 - Vector Angle Vector V has a horizontal vector...Ch. 2 - Velocity A bullet is fired into the air with an...Ch. 2 - Distance and Bearing A ship travels 120 miles on a...Ch. 2 - Force Tyler and his cousin Kelly have attached a...Ch. 2 - Force Tyler and Kelly decide to rollerskate. They...Ch. 2 - Work William pulls his cousins Hannah and Serah on...Ch. 2 - Find the measures of the remaining four angles...Ch. 2 - Use your knowledge of a 306090 triangle to find...Ch. 2 - Now use your knowledge of a 454590 triangle to...Ch. 2 - Find c and d, and then find sides a and b using...Ch. 2 - Now that the diagram is complete, you should have...Ch. 2 - Use your calculator to check each of the values in...Ch. 2 - The origins of the sine function are found in the...

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