Cos(a-b)=Cos(a)Cos(b)+Sin(a)Sin(b)
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Answer:
Answer
We have,
cos(A−B)=cosAcosB+sinAsinB …… (1)
Then, cos15
o
=?
Let A=45
o
and B=30
o
Put the value of A and B in equation (1) and we get,
cos(45
o
−30
o
)=cos45
o
cos30
o
+sin45
o
sin30
o
cos15
o
=
2
1
×
2
3
+
2
1
×
2
1
cos15
o
=
2
2
3
+1
Hence, this is the answer.
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