Answer :
Answer:
The value of expression is
tan
2
10
−
cot
2
80
=
0
tan
2
10−cot
2
80=0
Step-by-step explanation:
Given : Expression
tan
2
10
−
cot
2
80
tan
2
10−cot
2
80
To find : The value of the expression ?
Solution :
Expression
tan
2
10
−
cot
2
80
tan
2
10−cot
2
80
Re-write the tan as,
=
tan
2
(
90
−
80
)
−
cot
2
80
=tan
2
(90−80)−cot
2
80
Using trigonometric value,
tan
(
90
−
)
=
cot
tan(90−θ)=cotθ
=
cot
2
80
−
cot
2
80
=cot
2
80−cot
2
80
=
0
=0
Therefore, the value of expression is
tan
2
10
−
cot
2
80
=
0
tan
2
10−cot
2
80=0
#Learn more
Which one is correct??
- tan(90 - A) = cotA
- tan(90 - A) = secA
- sec(90 - A) = tan A
