Question

If cosA =2/5 , find the value of 4 + 4tan²A

Answer 1

hey friend here is your ans :--


since, cos A = 2/5 .


and then , 4 ( 1 + tan ^2 A ) = 4 Sec^2 A




4 sec^A = 4 / cos ^2 A .


4 / cos ^ 2 A= 4 × ( 5/2)^2




= 4 × 25 /4 .





= 25.



hence , 4 + 4 tan^2 A = 25.




I hope this ans would help a lot.



☆ so I request you to mark it as brainliest ans.



{♡♡ THANK YOU ♡♡}.

Answer 2

Here
CosA=2/5
4+4tan^2A
4(1+tan^2A)
4×sec^2A
4×5/2
2×5=10