1 4 [ √ 3 c o s 23 ∘ − s i n 23 ∘ ] = Options: A . &nbsp c o s 43 ∘ B . &nbsp c o s 7 ∘ C . &nbsp c o s 53 ∘ D . &nbsp None of these

Answer: Option D : D 1 4 √ 3 c o s 23 ∘ − s i n 23 ∘ = 1 2 c o s 30 ∘ c o s 23 ∘ − s i n 30 ∘ s i n 23 ∘ = 1 2 c o s ( 30 ∘ + 23 ∘ ) = 1 2 c o s 53 ∘ .

14[√3cos23∘−sin23∘] =

Discussion Forum : Trigonometric Functions

Question -

$\frac{1}{4}$ $[\sqrt{3} c o s 23^{\circ} - s i n 23^{\circ}]$ =

Options:

A .

c o s 43^{\circ}

B .

c o s 7^{\circ}

C .

c o s 53^{\circ}

D . None of these

Answer: Option D
:
D

$\frac{1}{4}$ $\sqrt{3} c o s 23^{\circ} - s i n 23^{\circ}$

= $\frac{1}{2}$ $c o s 30^{\circ} c o s 23^{\circ} - s i n 30^{\circ} s i n 23^{\circ}$

= $\frac{1}{2}$ $c o s (30^{\circ} + 23^{\circ})$ = $\frac{1}{2}$ $c o s 53^{\circ}$ .

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Discussion Forum : Trigonometric Functions

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