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If tan 2A= cot(A-18)

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If tan 2A= cot(A-18)

Posted by Aryan Dixit 6 years, 2 months ago

CBSE > Class 10 > Mathematics

3 answers

Bikram Bal 6 years, 2 months ago

Tan 2A=cot(A-18) cot(90-2A)=cot(A-18) 90-2A=A-18 90+18=A+2A 108=3A 108/3=A A=36

1Thank You

Yogita Ingle 6 years, 2 months ago

Ratios of Complementary angles ,

Two angles are said to be Complementary , if their sum is equal

to 90°.

As you know that ,

Cot ( 90 - x ) = tan x

According to the problem given,

Tan 2A = cot ( A - 18 )

Cot ( 90 - 2A ) = cot ( A - 18 )

Remove the cot both sides

we get ,

90 - 2A = A - 18

-2A - A = - 18 - 90

- 3A = - 108

A = ( - 108 ) / ( - 3 )

A = 36°

2Thank You

Aadya Singh ? 6 years, 2 months ago

A = 36

3Thank You

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