# if sinx + cosx = √2 cos(90-x). Determine cotx.

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sinx + cosx = √2 cos(90 - x)

sinx + cosx = √2 × cos(90 -x )

Then,

sinx + cosx = √2 × sinx

1 + cotx =√2

cotx = √2 - 1

i hope this will help you

(-:

sinx + cosx = √2 × cos(90 -x )

**----------------------------**

**We know, cos( 90 -**Ф**)= sin**Ф**-------------------------**

Then,

sinx + cosx = √2 × sinx

**-------------------**

**We know, cos**Ф**/sin**Ф**= cot**Ф**-------------------**

then,1 + cotx =√2

cotx = √2 - 1

i hope this will help you

(-:

Aryan2524:
are u abhi from haryana?

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