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Note: As ∠A is close to 0∘,∠C is close to 90 .Now,

 SinA= will be very small (close to 0), because BC is very small

and CosA= will be almost equal to 1, because the base AB is

almost equal to the hypotenuse AC.

Visualize what would happen if ∠A was made smaller and smaller until it
0
became 0 .

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 When ∠A= 0 , then BC = 0 an AC = AB
.
 Sin A= = 0 = 0

 CosA= = = 1.

 tan A = = 0 = 0


In this scenario,Sin Awould become exactly 0.

 CosA would become exactly 1.

Thus, we conclude that

0
0
0
sin0 =0,cos0 = 1, tan0 =0,

If we analyse the sine and cosine of ∠C in the same situation, we can conclude that

0
0
0
Sin90 = = = ,cos90 = = = , tan 90 = = = .

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As θ increases from 0 to 90 0
 Sin θ increases from 0 to 1
 Cos θ decreases from 1 to 0
 Tan θ increases from 0 to a very high value

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