Question

(a) In Triangle ABC, Angle A = 90°. If AB = 7 cm and BC - AC = 1 cm, find :
(i) sin C
(ii) tan B​

Answer 1

Answer:

(i) _7_

25

(ii)_24_

7

Step-by-step explanation:

Given angle A =90°, AB = 7 cm and BC-AC=1

BC-AC=1

BC=1+AC.............(i)

By Pythagoras theorem,

Hypotenuse²= Base²+Perpendicular²

BC²=AC²+AB²

(1+AC)²=AC²+(7)²

1+AC²+2AC= AC²+49

1+2AC=49

2AC=48

AC=24

Putting the value of AC in equation (i)

BC=1+AC

BC=1+24

BC=25

Now according to the question

(i)sin C = _perpendicular_

hypotenuse

=_7_

25

(ii) Tan B = _perpendicular_

base

= _24_

7

Answer