Question

cosA=7/25,find the value of tanA+cotA​

Answer 1

$\mathfrak{\huge{\orange{\underline{\underline{ANSWER :}}}}}$

Given that :

cos A = 7 /  25 

We know that ;

sin x = √ (1 - cos²x)

And

tan x = sin x / cos x 

And

cot x = cos x / sin x  or 1 / tan x 

Here,

sin A =√ ( 1 - cos²A)

= √ { 1 - (7/25)² }

= √ ( 1 - 49/625)

= √ { ( 625 - 49 ) / 625 }     ...taking LCM

= √ 576 / 625 

= √ ( 24/25)²

= 24 /25 

And

tan A = sin A / cos A

= (24/25 ) / ( 7/25 )

= 24 / 7 

And

cot A = 1/ tan A 

= 1/ ( 24/7) = 7/24 

Now,

tan A + cot A = 24 / 7 + 7 / 24 

=  ( 576 + 49 ) / 168    ....taking LCM ...

= 625/168

✨Hope it will help you.✨

Answer 2

Answer:

hye mate this is your answer

by

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