Question

prove that cos 48°•cos12°=3+✓5/8


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Answer 1

Answer:

Step-by-step explanation:

The given Equation is

cos 48 × cos 12 = (3 + √5)/8

Taking the LHS of the above equation, we get

cos 48 × cos 12

Multiplying and dividing by 2

= 1/2  (2cos 48 × cos 12)

= 1/2  (cos (48 + 12) + cos(48 - 12))

= 1/2  (cos 60 + cos 36)

= 1/2  (1/2 + (√5 +1)/4)

= 1/2 [ (2+ √5 + 1)/4 ]

=  (3 + √5)/8

= RHS

Therefore, hence proved

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