Question

Here's a question....
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If sinθ + cosθ = √2 sin(90° - θ), show that cotθ = √2 + 1
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No unnecessary answers needed..
Answer only if u can!! ​

Answer 1

hey mate

first I denote theta =x

sinx+cosx=√2sin(90-x)

sinx+cosx=✓2cosx

sinx=✓2cosx-cosx

sinx=cosx(✓2-1)

sinx/cosx=✓2-1

cotx =1/✓2-1

on rationalization

u get

cotx=✓2+1

I hope it is helpful to you

Answer 2

Hope this helps you ☺️☺️❤️❤️