Question

4. Find, as a fraction of one turn, the size of an angle equal to 135°​

Answer 1

Answer:

Solution

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)

The known values of sin are

Sine Degrees/Radians Values

Sin 00 0

Sin 300 or Sin π/6 1/2

Sin 450 or Sin π/4 1/√2

Sin 600 or Sin π/3 √3/2

Sin 900 or Sin π/2 1

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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Step-by-step explanation:

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Answer 2

Answer:

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)

The known values of sin are

Sine Degrees/Radians Values

Sin 00 0

Sin 300 or Sin π/61/2

Sin 450 or Sin T/41/√/2

Sin 600 or Sin pi/3 sqrt 3/2

Sin 900 or Sin pi / 21

On substituting the known values we get

=(1*1/ sqrt 2 )+(0*1/ sqrt 2 )

Step-by-step explanation:

=1/√2

=0.707106781

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