Question

If tan A = 3/4 find the value of 1/ sin A+ 1/cosA​

Answer 1

Answer: 35/12

Step-by-step explanation:

tanA = 3/4

tanA = O/A

O = 3, A = 4

H = $\sqrt{ a^{2} + o^{2} }$

H = $\sqrt{3^{2} + 4^{2} }$

H = $\sqrt{9 + 16}$

H = $\sqrt{25}$

H = 5

sinA = O/H

cosA = A/H

1/ sinA + 1/ cosA

$\frac{1}{\frac{O}{H} }$ + $\frac{1}{\frac{A}{H} }$

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

1 × 5/3 + 1 × 5/4

5/3 + 5/4

$\frac{20 + 15}{12}$

= 35/12