Question

the value of tan30/cot60 is​

Answer 1

Answer:

hey mate

here ur answer

Takingcot60∘tan30∘

cot(90−30)∘tan30∘

as we know, cot(900−θ)=tanθ

tan30∘tan30∘

=1

Easy pisy lemon creezy

Answer 2

work only in a right angle triangle.

work only in a right angle triangle.Tan is found out by dividing the opposite side by the adjacent side.

tan ∅ =

$\frac{opposite \: side}{adjacent \: side}$

Cot is found out by dividing the adjacent side by the opposite side.

cot∅ =

$\frac{adjacent \: side}{opposite \: side}$

We can clearly see that the product of tan and cot = 1, as cot is the reciprocal of tan.

i.e. tan ∅x cot ∅ = 1.

But here, we are directly provided with the value of 0.

$in \: tan \: = 30⁰ \\ in \: cot \: 60⁰$

$\frac{tan \: 30}{cot \: 60} = \frac{1}{ \sqrt{3} } \frac{1}{ \sqrt{3} }$

The values of tan 30° and cot 60° are constant and can't be changed.

$\frac{1}{ \sqrt{3} } \frac{1}{ \sqrt{3} } = \frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{1} = 1 \\ \\ \sqrt{3} \: and \: \sqrt{3} get \: cancelled$

$so \: \frac{tan \: 30⁰}{cot \: 60⁰} = 1$