Question

if cosA = 2/5, find the value of 4+4tan square A

Answer 1

Answer:

25

Step-by-step explanation:

W.K.T

sin²A + cos²A = 1

==>sin²A + (2/5)² = 1

==>sin²A+ 4/25=1

==>sin²A=1-4/25

==>sinA=√(21/25)

Now,

4 + 4tan²A

= 4 + 4(sin²A/cos²A)

=4+4[(21/25)/(4/25))]

=4+ 4[21*25/25*4]

= 4+ 4[21/4]

=4 + 21

=25

Answer 2

I hope it's help you ..................