Math, asked by kanchan3009, 1 year ago

find the value of tan1tan2tan3...tan89

kanchan3009: okay

eminemrules101: 1 is the snswer

kanchan3009: proper explanation plz

kanchan3009: im not good in maths

eminemrules101: Use complementary angles...I’ll explain for one term term

eminemrules101: first tan 1, convert it to cot (90-1) =cot89 =1/tan89

kanchan3009: ok

kanchan3009: thanks

eminemrules101: So the denominator in the first term is tan 89 and the last term is tan 89, jus cancel....do the same for all the other terms

eminemrules101: Tan 45 will be left..which is also 1 so the final answer is 1

Answers

Answered by gs018661

its answer is 1
because at the end tan 45 is left whose value is 1
anyway nice ques and if u liked it pls mark it brainliest

Answered by Anonymous

Hey there !!

Answer: 1 .

Step-by-step explanation:

= tan 1 . tan 2 . tan 3 ... tan 44 . tan 45 . tan 46 ... tan 87 . tan 88 . tan 89

= tan 1 . tan 2 . tan 3 ... tan 44 . tan 45 . tan( 90 - 44 ) ... tan (90 - 3 ) . tan ( 90 - 2 ) . tan ( 90 - 1)

= tan 1 . tan 2 . tan 3 ...tan44 . tan 45 . cot 44 ... cot 3 . cot 2 . cot 1

= tan 1 . cot 1 . tan 2 . cot 2 . tan 3 . cot 3 ... tan 44 . cot 44 . tan 45 ... tan 89 . cot 89

= 1 x 1 x 1 x ... 1 x ... x 1 . [ tan 45 = 1 ] .

= 1 .

Hence, it is solved .

THANKS

#BeBrainly .

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