Question

if sin x=cosec x
find sin x+cos x and
sin x - cos x

Answer 1

Answer :

Given,

sinx = cosecx

or, sinx = 1/sinx

or, sin²x = 1

So, x = 90°, taking the positive value only

i) sinx + cosx

= sin90° + cos90°

= 1 + 0

= 1

ii) sinx - cosx

= sin90° - cos90°

= 1 - 0

= 1

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Answer 2

sin x = cosec x

sin x = 1/sin x

sin² x = 1

sin x = √1 = 1

sin x = sin 90

x = 90

××××××××××××××××××

sin x + cos x

sin 90 + cos 90

1 + 0

1

×××××××××××××××××××

sin x - cos x

sin 90 - cos 90

1 - 0

1


I hope this will help you

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