What Is Sin 135°?Please Answer As Soon As Possible​

  • matematika

    Subject:

    Math
  • Author:

    harris
  • Created:

    1 year ago

Answers 2

Answer:

Sin 135 degrees is the value of sine trigonometric function for an angle equal to 135 degrees. The value of sin 135° is 1/√2 or 0.7071 (approx).

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Step-by-step explanation:

sin(135) can be expressed as = sin (90 + 45)

Using the identity sin(A + B) = sin(A)cos(B) + cos(A)sin(B) we will expand the above sin value

= sin (90 + 45) = sin(90)cos(45) + cos(90)sin(45)

On substituting the known values we get

= ( 1 x 1/√2) + (0 x 1/√2)

= 1/√2

= 0.7071067. . .

Answer

Hence the value of sin 135º= 1/√2 or sin 135º= 0.7071067. . .

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