What Is Sin 135°?
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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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