Question

if 5 tan0 =4 find the value of 5 sin0 _ 3 cos0 / 5 sin0 + 2 cos 0​

Answer 1

5tanФ = 4

tanФ = 4/5

find 5sinФ - (3cosФ)/(5sinФ) + 2cosФ

If it is correct, the answer is below....

5sinФ + 2cosФ - (3/5)tanФ →(1)

tanФ = 4/5

⇒ tan²Ф = 16/25

⇒sec²Ф - 1 = 16/25

⇒sec²Ф = 41/25

⇒secФ = √(41)/5

⇒cosФ = 5/√41

sinФ = tanФcosФ

sinФ = 4/5  x  5/√41

⇒sinФ = 4/√41

Substitution in (1)

5(4/√41) + 2(5/√41) - (3/5)(4/5)

= 20/√41 + 10/√41 - 12/25

= 30/√41 - 12/25

I think this is the answer

long hours of typing.

please mark as brainliest

Answer 2

pls make me as brainliest!