trigonometry (right triangles). why do we need trigonometry? in physics, we will often be using...
TRANSCRIPT
TRIGONOMETRY(RIGHT TRIANGLES)
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 RIGHT TRIANGLE
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!
PRACTICE #1
PRACTICE #2
THE 3 BASIC TRIG RATIOS
•
• “SOHCAHTOA” CAN HELP YOU REMEMBER!
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)
PRACTICE PROBLEM #1(FINDING A MISSING ANGLE)
WHICH TRIG RATIO WILL SOLVE THE PROBLEM?
PRACTICE PROBLEM #2(FINDING A MISSING ANGLE)
WHICH TRIG RATIO WILL SOLVE THE PROBLEM?
PRACTICE PROBLEM #3(FINDING A MISSING SIDE)
WHICH TRIG RATIO WILL SOLVE THE PROBLEM?
PRACTICE PROBLEM #4(FINDING A MISSING SIDE)
WHICH TRIG RATIO WILL SOLVE THE PROBLEM?