Question

if sinx = siny and cosx = cosy then prove that sin 1/2(x-y)=0

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Answer 1

Answer:

0

Step-by-step explanation:

sin (x-y/2)

sin x/2 - sin y/2

sin x = sin y

sin x/2 - sin x/2 (replacing y with x)

they are the same so answer is zero.

Answer 2

Answer:

0

Step-by-step explanation:

$if \: sin( \alpha ) = \sin( \beta )$

$then \: \alpha = \beta$

By using this we can say that,

If,

sinx = siny

then x = y

therefore,

sin {1/2(x-x)} (putting x = y)

sin {1/2(0)}

sin (0)

=0 ( sin 0 = 0)

thus proved,

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