SOLUTION: Can someone tell me if this is correct. Use definitions or identities to find the exact value of the 5 remaining trig functions.
if sin = sqrt(2)/2
then:
sin = sqrt(2)/2
t
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Question 7102: Can someone tell me if this is correct. Use definitions or identities to find the exact value of the 5 remaining trig functions.
if sin = sqrt(2)/2
then:
sin = sqrt(2)/2
tan = 1
cosecant = 2/sqrt(2)
secant = 2/sqrt(2)
cotangent = 1
They just dont seem correct to me... Thanks for the help
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
One way to assure yourself that these are indeed correct is to draw a right triangle whose hypotenuse is length 2, and whose legs are each length Since this is an isosceles triangle, the angles opposite the right angle are each 45 degrees. Call them angle A.
Remember: sohcahtoa ? (no, no, not the indian guide!) it's the acronym for remembering the trigonometric relationships with the sides of the right triangle. h = hypotenuse, o = side opposite, a = side adjacent.
In your triangle, , and
Sin = o/h
Cos = a/h
Tan = o/a
From this triangle, you can see that:
= 1
= 1
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