Why is sin 90° equal to 1 if the hypotenuse is always the longest side?

  • Level: High School 
  • Thread starter Thread starter anigeo
  • Start date Start date
  • Tags Tags
    Angle Sin
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
1 reply · 3K views
anigeo
Messages
83
Reaction score
0
sin of an angle θ is sinθ=p/h. again sin90=1 which means that p=h.but the hypotenuse is the longest side of a right triangle so how can it be equal to the perpendicular?
 
Mathematics news on Phys.org
anigeo said:
sin of an angle θ is sinθ=p/h. again sin90=1 which means that p=h.but the hypotenuse is the longest side of a right triangle so how can it be equal to the perpendicular?

Step back from the math for a moment and visualize this triangle.

You've got right triangle whose theta is 90 degrees. What does this triangle look like?

Does it make sense that, if its theta is 90, you'd have one side as long as the hypotenuse? Can you intuit how long the other side would be?
 
Last edited: