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a) Use the triangle below to work out the exact value of sin 45°. 12 1 1 b) Hence, or otherwise, give the exact value of sin 135º.​

A Use The Triangle Below To Work Out The Exact Value Of Sin 45 12 1 1 B Hence Or Otherwise Give The Exact Value Of Sin 135º class=

Sagot :

Answer:

258

Step-by-step explanation:

cause 1and 1 are the same size

Answer:

Find the value of sin 135.

We have to find the value of sin 135º

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)

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.

Step-by-step explanation:

this would be correct.

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