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Q.

The value of $\frac{\sec 30 °}{cosec 60 °}$ is:

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a

4

b

0

c

3

d

1

answer is D.

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Detailed Solution

Given expression

\frac{\sec 30 °}{cosec 60 °}

.
Now,

\sec 30 ° = \frac{2}{\sqrt 3} and cosec 60 ° = \frac{2}{\sqrt 3}

.
Substituting the values in the given expression,

\frac{\sec 30 °}{cosec 60 °} = \frac{\frac{2}{\sqrt{3}}}{\frac{2}{\sqrt{3}}}

\Rightarrow \frac{\sec 30 °}{cosec 60 °} = 1

Thus, the value of the given expression is 1.
Hence, option 4 is the correct answer.

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The value of sec30°cosec 60° is: