If tan 20°=k,then tan250°+tan340°/tan20°–tan110°=
Answers
Answered by
1
Answer:
If tan20
∘
=k⇒
tan200
∘
−tan110
∘
tan250
∘
+tan340
∘
=
MEDIUM
Share
Study later
ANSWER
tan250
∘
=tan(270
∘
−20
∘
)=cot20
∘
tan340
∘
=tan(360
∘
−20
∘
)=−tan20
∘
tan200
∘
=tan(180
∘
+20
∘
)=tan20
∘
tan110
∘
=tan(90
∘
+20
∘
)=−cot20
∘
Using these values in the given expression we get,
tan200
∘
−tan110
∘
tan250
∘
+tan340
∘
=
tan20
∘
+cot20
∘
cot20
∘
−tan20
∘
=
k+
k
1
k
1
−k
=
1+k
2
1−k
2
Similar questions