Given that cos(a-b)=cosacosb+sinasinb find the value of cos15
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Step-by-step explanation:
Cos(45-30)
=Cos45 sin30 - cos30 sin45
=1/√2*1/2 - √3/2*1/√2
=(1-√3)/2√2
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Answer:
The value of cos(15) is
Step-by-step explanation:
Given that,
- cos(a-b)=cos(a)cos(b) + sin(a)sin(b) -------------(i)
we have to find the value of cos(15)
So, let us take,
- a = 45
- b = 30
Now,put the above values in equation-(i), equation-(i) becomes-
cos(a-b)=cos(a)cos(b) + sin(a)sin(b)
cos(45-30)=cos(45)cos(30) + sin(45)sin(30) ---------------(ii)
where,
- cos(45) =
- cos(30) =
- sin(45) =
- sin(30) =
Put the above values in equation-(ii)
cos(15) =
cos(15) =
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