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Differentiation of Inverse Trigonometric Functions

Find the valu...

Question

Find the value of $θ, i f c o s 2 θ = s i n 4 5^{0} c o s 4 5^{0} + s i n 3 0^{0} -$

A

30⁰

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B

0⁰

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C

45⁰

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D

60⁰

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Solution

The correct option is B
0⁰

$\begin{matrix} c o s 2 θ = \frac{1}{\sqrt{2}} \times \frac{1}{\sqrt{2}} + \frac{1}{2} = 1 = c o s 0^{0} ∴ θ = 0^{0} \end{matrix}$

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