Right Triangle Trigonometry

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Objective - To use basic trigonometry to solve right triangles.
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Presentation transcript:

Right Triangle Trigonometry Trigonometry Basics Right Triangle Trigonometry

What is Trigonometry? TRIGONOMETRY Greek Words THREE SIDES (METRON)- MEASURE Trigonometry is the study of relationships between the sides and angles of a triangle.

Why do we need trigonometry? Suppose you visit Qutub Minar. The height of Qutub Minar can be found out without actually measuring it, using trigonometry. QUTUB MINAR YOU

C A B OPPOSITE (o) ADJACENT (a) FOR “A” AS REFERENCE ANGLE HYPOTENUSE

FOR “CA” AS REFERENCE ANGLE Hypotenuse (h) A C OPPOSITE (O) ADJACENT (a) B REFERENCE ANGLE The position of sides changes when you consider C in place of A.

SOHCAHTOA!! Trigonometric ratios How are we going to remember all these ratios?? SOHCAHTOA!!

C A B Trigonometric ratios There’s another way to remember the trigonometric ratios, as well. Some People Have Curly Brown Hair Through Proper Brushing S-Sine P-Perpendicular H-Hypotenuse C-Cosine B-Base T-Tangent HYPOTENUSE A B C Side opposite to A PERPENDICULAR Side Adjacent to A BASE

MORE TRIGONOMETRIC RATIOS RECIPROCAL RATIOS QUOTIENT RATIOS

There are three more trig functions There are three more trig functions. They are called the reciprocal functions because they are reciprocals of the first three functions. Oh yeah, this means to flip the fraction over. Best way to remember these is learn which is reciprocal of which and flip them.

RECIPROCAL RATIOS

QUOTIENT IDENTITIES