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Range of Trigonometric Ratios from 0 to 90 Degrees

The value of ...

Question

The value of $\frac{t a n 45^{\circ}}{s i n 30^{\circ} + c o s 60^{\circ}}$ is :

A

\frac{1}{\sqrt{2}}

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B

1

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C

\frac{1}{2}

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D

\sqrt{2}

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Solution

The correct option is B 1
$\frac{tan 45 °}{sin 30 ° + cos 60 °}$
$= \frac{1}{\frac{1}{2} + \frac{1}{2}}$
$= 1$
Hence, the answer is $1.$

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