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If sec A = 15/7 and …

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If sec A = 15/7 and A + B = 90°, find the value of cosec B.

Posted by Kumar ... 2 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years, 9 months ago

sec A {tex}= \frac { 15 } { 7 }{/tex}
{tex}\Rightarrow{/tex} sec(90° - B) {tex}= \frac { 15 } { 7 }{/tex} [{tex}\because{/tex} A + B = 90° {tex}\Rightarrow{/tex} A = 90° - B]
{tex}\Rightarrow{/tex} cosec B {tex}= \frac { 15 } { 7 }{/tex} [{tex}\because{/tex} sec (90° - {tex}\theta{/tex}) = cosec {tex}\theta{/tex})

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