write cot thetha in term of cos thetha
Answers
Answered by
0
We must use the quotient identities,
tan
θ
=
sin
θ
cos
θ
and
cot
θ
=
cos
θ
sin
θ
Explanation:
=
sin
θ
cos
θ
−
cos
θ
sin
θ
=
sin
2
θ
cos
θ
sin
θ
−
cos
2
θ
cos
θ
sin
θ
Use the pythagorean identity
sin
2
θ
+
cos
2
θ
=
1
to simplify further.
=
1
−
cos
2
θ
−
cos
2
θ
cos
θ
sin
θ
=
1
−
2
cos
2
θ
cos
θ
sin
θ
This is simplest form; we can't get rid of the sin (pardon the unintended pun!).
Answered by
0
cot²theta = cosec²theta-1
=( 1/sin²theta)-1
= (1-sin²theta)/sin²theta
cot²theta= cos²theta/(1-cos²theta)
cot theta = cos theta/√(1-cos²theta)
NeelamG:
mark as brainlist if it help u
Similar questions