Question

If sinQ+cosQ=root3 prove that tanQ+cotQ=1

Answer 1

Step-by-step explanation:

sinQ+cosQ=root3

...Squaring both sides we get

(sinQ+cosQ) 2=(root3)2

sinQ2+2sinQ*cosQ+cosQ2=3

1+2sinQ*cosQ=3

2sinQ*cosQ=2

sinQ*cosQ=1 ..........(1)

tanQ+cotQ=sinQ/cosQ+cosQ/sinQ

=sinQ2+cosQ2/sinQ*cosQ

=1/1 .......from (1)

=1=hence proved

It's easy to understand