Question

prove that if the value of theta increase then tan theta increase more faster then sin theta​

Answer 1

Answer:

heya

tanx=sinx/cosx

as sinx increases

cosx is decreasing

this means sinx/cosx is being divided by constantly shrinking amount (cosx) as compared with sinx and this will cause fraction across infinity.

hope it helps ✌

Answer 2

Step-by-step explanation:

In the question, the value of θ is increased gradually.

To prove:

If the value of theta increase then tan theta increase more faster than sin theta​.

Proof:

if we take sinθ where the value of θ increases from 0° to 90°, we will see that the values increase from 0(sin 0°) to 1(sin 90°).

But if we take tanθ where the value of θ increases from 0° to 90°, we will see that the values increase from 0(tan 0°) to ∞(tan 90°).

On comparing the differences, the value of sinθ increases only from 0 to 1.

But the value of tanθ increases from 0 to infinity, that signifies, how fast the value of tanθ increases (in comparison to sinθ). 0 to infinity creates a huge difference.

Proved.