Question

if sin^-1(x/5) + cosec^-1(5/4) = pie/2 x =?

Answer 1

@satellite73

Answer 2

cosec^-1 x = sin^-1 (1/x)
can you try now ?

Answer 3

also you may use sin^-1 x + cos^-1 x =pi/2

Answer 4

No idea

Answer 5

sin^-1(x/5) + cosec^-1(5/4) = pi/2
=>sin^-1(x/5) + sin^-1(4/5) = pi/2
=>sin^-1(x/5) + sin^-1(4/5) = sin^-1(4/5) + cos^-1 (4/5)
=>sin^-1(x/5) = cos^-1 (4/5)
now try to compare with this triangle


you should be able to do now..
2 notes :
1) you could have even solve theoritically without considering the triangle by letting sin^(x/5) = y and' x/5 = sin y and blah blah blah...
2)its "pi" and not "pie" <-both are different :P

Answer 6

thxx