Question

If Sin x= 4/5 then find the value of 2+tan²x​

Answer 1

Step-by-step explanation:

Sin x=4/5

Sin 0=P/H

P=4

H=5

B=3 (Proved Below)

H^2=B^2+P^2

(5)^2=x^2+(4)^2

25=X^2+16

X^2=25-16

x =√9

x=3

$2 + {tan}^{2} \\ 2 + \frac{p}{b} \\ 2 + { \frac{4}{5} }^{2} \\ 2 + \: \frac{16}{25} \\ \frac{50 + 16}{25} \\ = \frac{66}{25}$