Question

5. If tan A = 0.225, find the value of : (i) sin A, (ii) cos A, (iii) 2 sin? A +3 cos2 A -2​

Answer 1

Answer:

Using Pythagoras theorem,

(hypotenuse)2 = (perpendicular)2 + (base)2

⇒ (perpendicular)2 = (hypotenuse)2 – (base)2

⇒ (perpendicular)2 = (13)2 – (12)2

⇒ (perpendicular)2 = 169 – 144 = 25

⇒ perpendicular = √25 = 5

Using perpendicular = 5, base = 12 and hypotenuse = 13, we can find out sin A and tan A.

Sin A is given by

⇒perpendicular/hypotenuse

= 5/13

And, tan A is given by

⇒perpendicular/base

= 5/12

Thus,

Sin A = 5/13

and

Tan A = 5/12

hope it helps

pls mark as brainlliest

Answer 2

Answer:

Using Pythagoras theorem,

(hypotenuse)2 = (perpendicular)2 + (base)2

⇒ (perpendicular)2 = (hypotenuse)2 – (base)2

⇒ (perpendicular)2 = (13)2 – (12)2

⇒ (perpendicular)2 = 169 – 144 = 25

⇒ perpendicular = √25 = 5

Using perpendicular = 5, base = 12 and hypotenuse = 13, we can find out sin A and tan A.

Sin A is given by

⇒perpendicular/hypotenuse

= 5/13

And, tan A is given by

⇒perpendicular/base

= 5/12

Thus,

Sin A = 5/13

and

Tan A = 5/12