prove that tan72=tan18+2tan54
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Answered by
102
solution:-
let,
tan54 = tan(72-18)
= tan54 =( tan72-tan18)/1+tan72.tan18
= tan54 = ( tan72-tan18)/1+tan(90-18).tan18
= tan54 =( tan72-tan18)/1+cot18.tan18
= tan54 =( tan72-tan18)/2
= tan72-tan18 = 2tan54
=(tan72 = tan18+2tan54)proved
let,
tan54 = tan(72-18)
= tan54 =( tan72-tan18)/1+tan72.tan18
= tan54 = ( tan72-tan18)/1+tan(90-18).tan18
= tan54 =( tan72-tan18)/1+cot18.tan18
= tan54 =( tan72-tan18)/2
= tan72-tan18 = 2tan54
=(tan72 = tan18+2tan54)proved
Answered by
3
Answer:
tan54 = tan(72-18)
= tan54 =( tan72-tan18)/1+tan72.tan18
= tan54 = ( tan72-tan18)/1+tan(90-18).tan18
= tan54 =( tan72-tan18)/1+cot18.tan18
= tan54 =( tan72-tan18)/2
= tan72-tan18 = 2tan54
=(tan72 = tan18+2tan54)proved.
Step-by-step explanation:
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