Question

Q. Write whether true or false:
1.) Tan47°/ cot43°=1
2.). By geometrical construction, it
is possible to divide the line
segment in ratio √3 : 1/√3

Answer 1

Answer:

Tan(90-A) =cotA and answer is true

√3:1/√3 multiply by √3 it is possinble

Step-by-step explanation:

Answer 2

1. $\dfrac{\tan47}{\cot43}$ = 1, true.

2. $\sqrt{3} :\dfrac{1}{\sqrt{3}}$, true.

Step-by-step explanation:

1. We have,

$\dfrac{\tan47}{\cot43}$ = 1

L.H.S. = $\dfrac{\tan47}{\cot (90-47)}$

Using the trigonometric identity,

$\tan A=\cot (90-A)$

$=\dfrac{\tan47}{\tan47}$

= 1, true.

2. We have,

$\sqrt{3} :\dfrac{1}{\sqrt{3}}$

Multiplying by $\sqrt{3}$, we get

$\sqrt{3}\times \sqrt{3}:\dfrac{1}{\sqrt{3}}\times \sqrt{3}$

= 3 : 1. true.