Without trigonometric table, evaluate cosec 49osec41o

Givencsc 49o sec 41o =csc 49o sec( 90o− 49o ) =csc 49o csc 49o as we know sec(90o−θ ) =cscθ =1Hence 1 is the answer

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Without trigonometric table, evaluate { 41^o}{{cosec } 49^o}

Question

Without trigonometric table, evaluate $\frac{sec 4 1 ^{o}}{cosec 4 9 ^{o}}$

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Lucas Discussed

Without trigonometric table, evaluate

\frac{sec 4 1 ^{o}}{cosec 4 9 ^{o}}

6 mins ago

Discuss this question LIVE

6 mins ago

Given

\frac{sec 4 1 ^{o}}{csc 4 9 ^{o}}

= \frac{sec ( 9 0 ^{o} - 4 9 ^{o} )}{csc 4 9 ^{o}}

= \frac{csc 4 9 ^{o}}{csc 4 9 ^{o}}

as we know

sec (9 0^{o} - θ) = csc θ

= 1

Hence

1

is the answer

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Question Text	Without trigonometric table, evaluate $\frac{sec 4 1 ^{o}}{cosec 4 9 ^{o}}$
Answer Type	Text solution:1
Upvotes	150