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What will be the expression of the following in terms of trigonometric ratio of angles lying between $0 °$ and $45 °$ , $cosec 75 ° + sec 68 °$ ?

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s e c 16 ° + c o s e c 23 °

s e c 15 ° + c o s e c 22 °

s e c 15 ° + c o s e c 32 °

s e c 25 ° + c o s e c 32 °

answer is B.

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Detailed Solution

Given that

cosec 75 ° + sec 68 °

and we have to find the expression of the following in terms of trigonometric ratio of angles lying between

0 °

and

45 °

.
We use,

sec (90 ° − θ) = c o s e c θ; c o s e c (90 ° − θ) = s e c θ

We get,

= c o s e c (90 − 15) ° + sec (90 − 22) °

= s e c 15 ° + c o s e c 22 °

Thus the expression is

s e c 15 ° + c o s e c 22 °

.
Therefore the correct option is 2.

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