Question

the value of tan30/tan60 is​

Answer 1

Answer:

Hiii!

Step-by-step explanation:

Here is the answer;)

Tan30°/Tan60°= 1/√3/√3 =√3/√3

=√3×√3/√3×√3 = 1

( since the value of tan 30° = 1/√3 and tan 60° = √3) .

Hope this will help you !!!!!!

Answer 2

Answer:

Required value is $\frac{1}{3}$

Step-by-step explanation:

Given

$\frac{ \tan( {30}^{o} ) }{ \tan( {60}^{o} ) }$

We want to find value of this.This is a trigonometry problem.For solving this type of problems we should remember all degree values of Trigonometry expressions.

We are sharing some important degree values of Trigonometry expressions,

$1.Sin ({0}^{o}) = \: 0 \\ \sin( {30}^{o} ) = \frac{1}{2} \\ \sin({45}^{o} ) = \frac{1}{ \sqrt{2} } \\ \sin({60}^{o} ) = \frac{ \sqrt{3} }{2} \\ \sin({90}^{o} ) = 1$

$2.cos ({0}^{o} ) = 1 \\ \cos( {30}^{o} ) = \frac{ \sqrt{3} }{2} \\ \cos({45}^{o} ) = \frac{1}{ \sqrt{2} } \\ \cos({60}^{o} ) = \frac{ \sqrt{1} }{2} \\ \cos({90}^{o} ) = 0$

$3.tan ({0}^{o} ) = 0 \\ \tan( {30}^{o} ) = \frac{ \sqrt{1} }{ \sqrt{3} } \\ \tan({45}^{o} ) = 1 \\ \tan({60}^{o} ) = \sqrt{3} \\ \tan({90}^{o} ) = infinite$

Here

$\frac{ \tan( {30}^{o} ) }{ \tan( {60}^{o} ) } \\ = \frac{ \frac{1}{ \sqrt{3} } }{ \sqrt{3} } \\ = \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } \\ = \frac{1}{ \sqrt{3} \times \sqrt{3} } \\ = \frac{1}{3}$