Download Algebra 2 cc Section 7.1 Solve right triangles

Algebra 2 cc Section 7.1
Solve right triangles
“Trigonometry” means triangle measurement and is used to solve problems
involving triangle.
http://www.youtube.com/watch?v=n1A2HqSXtGI
The sides of a right triangle are
named based on the position of
an acute angle.
The three sides of a right triangle can be grouped into six different
ratios. Each ratio has its own name.
SOH – CAH - TOA
Trigonometric Ratio
Sine
Cosine
Tangent
sin θ= opposite
hypotenuse
cos θ= adjacent
hypotenuse
tan θ= opposite
adjacent
Other trigonometric ratios
Cosecant csc θ= hypotenuse
opposite
Secant
sec θ= hypotenuse
adjacent
Cotangent cot θ= adjacent
opposite
Reciprocal Relationships
sin θ= 1
csc θ= 1
csc θ
sin θ
cos θ=1
sec θ= 1
sec θ
cos θ
tan θ= 1
cot θ= 1
cot θ
tan θ
Evaluate the six trigonometric functions of the angle θ shown in the
right triangle.
Evaluate the six trigonometric functions of the angle θ shown in the
right triangle.
Find the sin θ for each triangle.
The value of a trigonometric function depends only upon the angle and not upon
the size of the triangle.
Use a calculator to evaluate the following trigonometric functions.
sin 23o
sec 13o
56o
csc 52o
tan 81o
cot 46o
cos
Solve the triangle. (Find the missing sides and angles.)
Solve the triangle. (Find the missing sides and angles.)
Solve the triangle. (Find the missing sides and angles.)
Cah ties a zip line to the top of the tree to slide down quicker. The angle
of elevation to the top of the tree from a point 120 ft from the base of
the tree is 35 degrees. How tall is the tree?
It is possible to determine the value of some trigonometric functions
based on special triangles.
Evaluate without a calculator.
sin 30o = _____
cos 30o = _____
tan 60o = _____ sec 60o = _____
tan 45o = _____
cot 45o = _____
sin 45o = _____
csc 60o = _____
assignment
Page 772
Problems 16 – 24 even, 25 – 32 all, 34-40 even, 43-50 all