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Standard Values of Trigonometric Ratios

The value of ...

Question

The value of $sin$ $45^{0} cos 45^{0} (tan 45^{0} + cot 45^{0})$ is

A

2

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B

1

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C

3

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D

4

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Solution

The correct option is C $1$
$sin 45^{0} cos 45^{0} (tan 45^{0} + c o t 45^{0})$
$= (\frac{1}{\sqrt{2}}) (\frac{1}{\sqrt{2}}) (1 + 1)$
$= \frac{1}{2} (2)$
$= 1$
Hence answer is B

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