prove that tan (90-A)=cot A
Answers
Answered by
2
Answer:
We know that
tan
(
90
+
a
)
=
sin
(
90
+
a
)
cos
(
90
+
a
)
=
sin
90
⋅
cos
a
+
cos
90
⋅
sin
a
cos
90
⋅
cos
a
−
sin
90
⋅
sin
a
=
cos
a
−
sin
a
=
−
cot
a
Note
sin
90
=
1
,
cos
90
=
0
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Answered by
1
Step-by-step explanation:
LHS=Tan(90-A)
=COT A
as, tan and cot both are compementry angles
therefore, TAN A=COT(90-A) AND COT A= TAN(90-A)
HENCE PROVED
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