c o s 2 48 ∘ − s i n 2 12 ∘ = Options: A . &nbsp√5−14 B . &nbsp√5+18 C . &nbsp√3−14 D . &nbsp√3+12√2

Answer: Option B : B c o s 2 A − s i n 2 B = cos(A + B). Cos(A - B) ∴ c o s 2 48 ∘ − s i n 2 12 ∘ = c o s 60 ∘ . c o s 36 ∘ = 1 2 ( √ 5 + 1 4 ) = √ 5 + 1 8

cos248∘−sin212∘=

Question

c o s^{2} 48^{\circ} - s i n^{2} 12^{\circ} =

Options:

A . √5−14

B . √5+18

C . √3−14

D . √3+12√2

Answer: Option B
:
B

c o s^{2} A - s i n^{2} B

= cos(A + B). Cos(A - B)

∴ c o s^{2} 48^{\circ} - s i n^{2} 12^{\circ} = c o s 60^{\circ} . c o s 36^{\circ}

\frac{1}{2} (\frac{\sqrt{5} + 1}{4}) = \frac{\sqrt{5} + 1}{8}

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