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WHY DO WE NEED TRIGONOMETRY?
• IN PHYSICS, WE WILL OFTEN BE USING RIGHT TRIANGLES IN DIAGRAMS. TRIGONOMETRY LETS US FIND MISSING SIDE LENGTHS AND ANGLES OF RIGHT TRIANGLES.
• IS IT NOT THAT HARD TO DO THE COMPUTATIONS WE WILL NEED FOR THIS COURSE, SO LET’S GET TO IT!
THE PYTHAGOREAN THEOREM
• FOR RIGHT TRIANGLES ONLY!
• USED WHEN WE KNOW THE LENGTHS OF ANY 2 SIDES OF A RIGHT TRIANGLE AND WE NEED TO KNOW THE THIRD LENGTH.
• FORMULA:
…WHERE A AND B ARE THE LEGS AND C IS THE HYPOTENUSE.
TRIGONOMETRY
WHEN WE KNOW ONLY ONE SIDE AND ONE ANGLE OF A RIGHT TRIANGLE
OR
WHEN WE NEED TO FIND AN ANGLE OF A RIGHT TRIANGLE
WE WILL USE THE TRIG RATIOS TO HELP US!
CALCULATOR TIPS
• MAKE SURE YOUR CALCULATOR IS IN DEGREE MODE!
• USE THE SIN, COS, AND TAN BUTTONS OF YOUR CALCULATOR TO FIND A TRIG RATIO.
• PRESS 2ND AND THE SAME BUTTONS TO FIND AN ANGLE THAT HAS THE GIVEN TRIG RATIO (INVERSE TRIG FUNCTIONS)