Question

if sinteta+costeta=root3,then prove that tanteta+cotteta=1

Answer 1

Answer:

sin@+cos@ = √3

(sin@+cos@)² = √3²

=> sin²@+2sin@cos@ +cos²@=3

=> 1+2sin@cos@=3

=> 2sin@cos@=2

=> sin@cos@ =1

we have

tan@+cot@

= sin@/cos@ + cos@/sin@

= (sin²@+cos²@)/sin@cos@

= 1/1

=1