Question

cos 37°=a/b find the value of cosec37°-cos53°

Answer 1

cos37°=a/b,

then

sin37=√(1-cos²37),

sin37=√(1-a²/b²),

=√(b²-a²)/b,

then

cosec37=1/sin37°,

=b/(√b²-a²),

therefore

cosec37° - cos53°,

cosec37° - sin37°,

b/√(b²-a²) - √(b²-a²)/b,


[b²-(b²-a²)]/[b√(b²-a²),

a²/[b√(b²-a²)