Question

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

Answer 1

Answer:

of tan =3/4 tan = P/B

by using phythgoras thm.

H =✓3^2+4^2= 5

then sin A = P/H

3/5

lly, cos A =B/H

4/5

1/3/5 +1/4/5

5/3+5/4

20+15/12 = 35/12

Answer 2

Answer:

The value of 1/sinA + 1/cosA = 35/12

Step-by-step explanation:

Given, tanA = 3/4

In trigonometry consider a right triangle with an angle A then,

sin A = opposite side/hypotenuse

cos A = adjacent side/hypotenuse

tan A = sinA/cosA

= opposite side/ adjacent side

tanA = 3/4

To find hypotenuse use Pythagoras theorem,

Hypotenuse² = base² + altitude²

Hypotenuse= sq.root of ( 3+4)

= sq.root of ( 9+16)

=sq.root of (25)

= 5 units.

From the above equations we get,

sinA = 3/5

cosA = 4/5

hence,

1/sinA + 1/cosA = 1/(3/5) + 1/(4/5)

= 5/3 + 5/4

= 20+15/12

= 35/12.