right triangle

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Transcript right triangle

Right Triangle Trigonometry
Pythagorean Theorem
• Recall that a right triangle has a 90° angle as one of its angles.
• The side that is opposite the 90° angle is called the
hypotenuse.
• The Pythagoreans theorem says that the square of the
hypotenuse is equal to the sum of the squares of the legs.
c2 = a2 + b2
a
c
b
Introduction to Trigonometry
opp is the side opposite angle A
• adj is the side adjacent to angle A
• hyp is the hypotenuse of the right triangle
hyp
opp
adj
A
Define the three basic trigonometric ratios: sine,
cosine and tangent.
Just remember sohcahtoa!
Sin Opp Hyp Cos Adj Hyp
Tan Opp Adj
-orSchool Can Teach
Oscar Has A Hairy Old Ape
Opp
Sin ( A) 
Hyp
Adj
Cos ( A) 
Hyp
Opp
Tan( A) 
Adj
Sec 7.5 #3-8, 16-26,
(#30 extra credit)
Sec 7.6 #1-9 odd, 10-15,
19-24
(#30 & 31 extra credit)