Question

if tanA =3/4 , find the value of 1/sinA + 1/cosA​

Answer 1

Answer:

The answer is 35/12.

Step-by-step explanation:

tanA =3/4

∵tan = P/B

∴ P = 3 ; B = 4

By using Pythagoras theorem.

$H^{2} = P^{2} + B^{2}$

$H^{2} = 3^{2} + 4^{2} = 25\\\\H^{2} = 25\\H^{2} = 5^{2}\\\\H = 5$

then sin A = P/H  = 3/5

Also, cos A = B/H  = 4/5

Value of 1/sinA + 1/cosA​

$\frac{1}{3/5} + \frac{1}{4/5}$

$\frac{5}{3} + \frac{5}{4}$

(20+15) / 12 = 35/12

∴ The answer is 35/12.

Answer 2

Answer:

1/sinA + 1/cosA​ = 35/12

S​tep-by-step explanation: