Question

how to find tan10° complete derivation
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Answer 1

Answer:

derivation of tan10 is,0 it is constant

Answer 2

Step-by-step explanation:

It’s extremely easy, fast and short.

We will use this formula for calculation:

f(a+h)≈f(a)+h•f’(a)

Calculations: Here, f(x)=tan(10°).

Let's seperately find values for the terms involved in our formula to make calculations easier:

f(x)=f(a+h)=tan(0°+10°)f(x)=f(a+h)=tan(0°+10°).. [where a=0°, h=10°]

Remember: We should pick value for ‘a’ where it's the closest to x, and can be calculated by basic method. ‘h’ is the difference between x and a.

Now, f(a)=tan(0°)=0;f(a)=tan(0°)=0;

hh=0.174533c=0.174533c …[1°=0.0174533c1°=0.0174533c]

We have to convert h's value from degrees to radians.

f′(a)=sec2(0)=1f′(a)=sec2(0)=1

Now, use the formula and substitute values in it:

f(x) ≈f(a+h)≈f(a)+h•f’(a)

tan10°≈tan(0°+10°)≈0+0.174533(1)≈0.174533tan10°≈tan(0°+10°)≈0+0.174533(1)≈0.174533

Therefore,tan(10°)≈0.174533Therefore,tan(10°)≈0.174533