Question

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

Answer 1

Answer:

tan A = perpendicular/ base =3/4

By Pythagoras theorem

(hypotenuse)^2=(3)^2+(4)^2

=9+16

=25

hypotenuse= 5

SinA = perpendicular/ hypotenuse

=3/5

Cos A = base/ hypotenuse

=4/5

1/SinA + 1/ Cos A = 5/3+5/4

=(20+15)/12

=35/12

Answer 2

Answer :-

• 35/12

Given :-

• tanA = 3/4

To Find :-

• Value of 1/sinA + 1/cosA

Solution :-

As we know that

→ tan = P/B

Here

• Perpendicular = 3
• Base = 4
• Hypotenuse = ?

From Pythagoras theorem

H² = P² + B²

⇒ H² = (3)² + (4)²

⇒ H² = 9 + 16

⇒ H² = 25

⇒ H = √25

⇒ H = 5

• sin = P/H = 3/5
• cos = B/H = 4/5

According to question :-

1/sinA + 1/cosA

⇒ 1/3/5 + 1/4/5

⇒ 5/3 + 5/4

⇒ 20 + 15 /12

⇒ 35/12

Hence, the value of 1/sinA + 1/cosA is 35/12

Extra Shots :-

• sinA = p/h
• cosA = b/h
• tanA = p/b
• cosecA = h/p
• secA = h/b
• cotA = b/p