2 tan 18° + tan 36° – tan 54°
Answers
Show that tan36
∘
tan17
∘
tan54
∘
tan73
∘
=1
ANSWER
To prove that:
tan36
o
tan17
o
tan54
o
tan73
o
=1
Proof:
tanθ=cot(90
o
−θ)
tanθ=
tan(90
o
−θ)
1
Hence, tan54
o
=
tan(90
o
−54
o
)
1
=
tan36
o
1
tan54
o
tan36
o
=1...............(i)
Similarly, tan17
o
tan73
o
=1.............(ii)
Multiplying (i) and (ii), we get
tan54
o
tan36
o
tan17
o
tan73
o
=1
Hence, proved
Sorry I didn't get the answer for your question.
#Hope you have satisfied with this answer.
Answer:
Search...
amandecoration2931
24.06.2020
Math
Secondary School
answered
2 tan 18° + tan 36° – tan 54°
1
SEE ANSWER
ADD ANSWER
+5 PTS
amandecoration2931 is waiting for your help.
Add your answer and earn points.
Answer
1
darksoul267
Expert
176 answers
627 people helped
Show that tan36
∘
tan17
∘
tan54
∘
tan73
∘
=1
ANSWER
To prove that:
tan36
o
tan17
o
tan54
o
tan73
o
=1
Proof:
tanθ=cot(90
o
−θ)
tanθ=
tan(90
o
−θ)
1
Hence, tan54
o
=
tan(90
o
−54
o
)
1
=
tan36
o
1
tan54
o
tan36
o
=1...............(i)
Similarly, tan17
o
tan73
o
=1.............(ii)
Multiplying (i) and (ii), we get
tan54
o
tan36
o
tan17
o
tan73
o
=1
Hence, proved
Step-by-step explanation: