the value of cos 70 cos 10 + sin70 sin 10
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ankushkumar539
ankushkumar539
05.12.2018
Math
Secondary School
+5 pts
Answered
Show that Cos70°. Cos10°+ Sin70°. Sin10° =1/2
2
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Kalpeshprabhakar Genius
Answer:
Cos 70 . Cos 10 + Sin 70 . Sin 10 = 1/2
LHS:-
This is of the form: Cos A.Cos B + Sin A.Sin B, which is actually Cos ( A-B ).
Here, A = 70, B = 10
Hence we can write it as:
⇒ Cos ( 70 - 10 )
⇒ Cos 60
Cos 60 is actually 1/2.
Hence LHS = RHS
Hence Proved !!