Math, asked by leoemenim, 6 months ago

Prove that sin 37° * sec 52° =1

Answers

Answered by snehaprajnaindia204
6

Step-by-step explanation:

 \sin(37)  \times  \sec(53)   \\  =  \sin(37)  \times cosec(90 - 53) \\  \ = sin(37)  \times cosec(37) = 1

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 \sin(38)  \times  \sec(52)  \\  =  \sin(38)  \times cosec(38) = 1

Answered by shivajikaithi
3

Answer:

}

sin(37)×sec(53)

=sin(37)×cosec(90−53)

=sin(37)×cosec(37)=1

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\begin{gathered} \sin(38) \times \sec(52) \\ = \sin(38) \times cosec(38) = 1\end{gathered}

sin(38)×sec(52)

=sin(38)×cosec(38)=1

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