{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Trigonometry Lecture Notes_part2

Example 75 example 76 equations with a multiple angle

Info icon This preview shows pages 13–18. Sign up to view the full content.

View Full Document Right Arrow Icon
Example 75
Image of page 13

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Example 76 Equations with a multiple angle Solve the equation: tan3 1 x = , within the interval:0 2 x π < Example 77 Equations with a multiple angle 3 sin 2 2 x = , 0 2 x π < Example 78 Example 79 2 tan sin 3tan x x x = , within 0 2 x π < Example 80 Using a trigonometric identity to solve a trig equation: cos 2 3sin 2 0 x x + - = , within 0 2 x π < Example 81 Using a trigonometric identity to solve a trig equation: 1 sin cos 2 x x = , within 0 2 x π < Example 82 Using a trigonometric identity to solve a trig equation: sin cos 1 x x - = , within 0 2 x π <
Image of page 14
Example 83 Solve the following equation: 7cos 9 2cos θ θ + = - Example 84 Solve the equation on the interval [0,2 π ): Example 85 Solve the equation on the interval [0,2 π ) Example 86 Solve the equation on the interval [0,2 π ) Section 6.7 Applied Problems Solving a right triangle means finding the missing lengths of the sides and the measurements of its angles. We will label the right triangle as is done in the following diagram: Example 87 3 tan 2 3 θ = sin 2 sin x x = 2 cos 2cos 3 0 x x + - =
Image of page 15

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Finally, we need to find c. Because we have a known angle, a known adjacent side, and an unknown hypotenuse, we use the cosine function. cos34.5 ° = 10.5/c c=10.5/cos34.5 ° = 12.74 In summary, B = 55.5º, a = 7.22, and c = 12.74. Example 88
Image of page 16
Image of page 17

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Example 89 A 200 foot cliff drops vertically into the ocean. If the angle of elevation of a ship to the top of the cliff is 22.3 degrees, how far above shore is the ship? Example 90 A building that is 250 feet high cast a shadow that is 40 feet long. Find the angle of elevation of the sun at that time. Example 91 A boat leaves the entrance to a harbor and travels 40 miles on a bearing S 64 ° E. How many miles south and how many miles east from the harbor has the boat traveled?
Image of page 18
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern