Question

find the value of tan 30°/cot 60°​

Answer 1

Answer:

Tan and cot are trigonometric ratios. They work only in a right angle triangle.

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

tanθ= oppositeside/adjacentside

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

cotθ= adjacentside/ oppositeside

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

i.e.tanθ×cotθ=1.

But here, we are directly provided with the value θ.

Intanθ:θ=30°

Incotθ:θ=60°

tan30°/ cot60° = 1/√3/ 1/√3

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

1/√3/1/√3= 1/√3× √3/1 = 1

√3 and √3 get cancelled .

So, tan30°/ cot60° = 1.