Question

What is the value of tan10°

Answer 1

Answer:

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°) .. [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;  

h  =0.174533c  …[ 1°=0.0174533c ]

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

f′(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)≈0.174533  

Therefore,tan(10°)≈0.174533  

Step-by-step explanation:

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