Question

Hey
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Answer 1

Heya !!

cosA = 2/5 (given)

=> secA = 5/2

Now, 4 + 4tan²A

=> 4 (1+ tan²A)

=> 4sec²A ( 1+ tan²A = sec²A )

=> 4 (5/2)²

=> 4 × ( 25/4 )

=> 25

Answer 2

Cos A = 2/5
base = 2
Hypotenuse = 5
Using Pyth theorem perpendicular

= √ 5² - 2²
= √25 - 4
= √21

(Tan A = Perpendicular / base)

Tan A = √21/2

4+4 Tan²A = 4+4×(√21/2)²

= 4 + 4× 21/4
= 4 + 21
= 25

Glad to help you!