{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

119-0708S-S03-Chapter07

# 119-0708S-S03-Chapter07 - Applications of Trigonometri c...

This preview shows pages 1–17. Sign up to view the full content.

Applications of Trigonometri c Functions Chapter 7

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

View Full Document
Right Triangle Trigonometry; Applications Section 7.1
Trigonometric Functions of Acute Angles Right triangle: Triangle in which one angle is a right angle Hypotenuse: Side opposite the right angle in a right triangle Legs: Remaining two sides in a right triangle

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

View Full Document
Trigonometric Functions of Acute Angles Non-right angles in a right triangle must be acute (0 ± < μ < 90 ± ) Pythagorean Theorem: a 2 + b 2 = c 2
Trigonometric Functions of Acute Angles These functions will all be positive

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

View Full Document
Trigonometric Functions of Acute Angles Example. Problem: Find the exact value of the six trigonometric functions of the angle μ Answer:
Complementary Angle Theorem Complementary angles: Two acute angles whose sum is a right angle In a right triangle, the two acute angles are complementary

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

View Full Document
Complementary Angle Theorem
Complementary Angle Theorem Cofunctions: sine and cosine tangent and cotangent secant and cosecant Theorem . [Complementary Angle Theorem] Cofunctions of complementary angles are equal

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

View Full Document
Complementary Angle Theorem Example Problem: Find the exact value of tan 12 ± { cot 78 ± without using a calculator Answer:
Solving Right Triangles Convention: ® is always the angle opposite side a ¯ is always the angle opposite side b Side c is the hypotenuse Solving a right triangle: Finding the missing lengths of the sides and missing measures of the angles Convention: Express lengths rounded to two decimal places Express angles in degrees rounded to one decimal place

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

View Full Document
Solving Right Triangles We know: a 2 + b 2 = c 2 ® + ¯ = 90 ±
Solving Right Triangles Example. Problem: If b = 6 and ¯ = 65 ± , find a, c and ® Answer:

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

View Full Document
Solving Right Triangles Example. Problem: If a = 8 and b = 5, find c, ® and ¯ Answer:
Applications of Right Triangles Angle of Elevation Angle of Depression

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

View Full Document
Applications of Right Triangles Example. Problem: The angle of elevation of the Sun is 35.1 ± at the instant it casts a shadow 789 feet long of the Washington Monument. Use this information to calculate the height of the monument.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern