{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}


3 5 111 applications of sinusoids 755 it is possible

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: we divide the side view of the house down the middle, we find that the roof line forms the hypotenuse of a right triangle with legs of length 6 feet and 12 feet. Using Theorem 6 10.10, we find the angle of inclination, labeled θ below, satisfies tan(θ) = 12 = 1 . Since θ is an 2 1 acute angle, we can use the arctangent function and we find θ = arctan 2 radians. Converting degrees to radians,7 we find θ = arctan 1 2 radians 180 degrees π radians ≈ 26.56◦ . 6 feet θ 12 feet 10.6.4 Solving Equations Using the Inverse Trigonometric Functions. In Sections 10.2 and 10.3, we learned how to solve equations like sin(θ) = 1 for angles θ and 2 tan(t) = −1 for real numbers t. In each case, we ultimately appealed to the Unit Circle and relied on the fact that the answers corresponded to a set of ‘common angles’ listed on page 619. If, on the other hand, we had been asked to find all angles with sin(θ) = 1 or solve tan(t) = −2 for 3 real numbers t, we would have been hard-pressed to do so. With the introduction of the inverse trigon...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online