Solve cosh(-180/pi)+sinh(180/pi)

$$\cosh ( - \frac{ 180 }{ \pi } ) + \sinh ( \frac{ 180 }{ \pi } )$$

Evaluate

$$\frac{19106488952708827E}{2500000000000000}+48$$

Solution Steps

Evaluate trigonometric functions in the problem

$$3.8212977905417654E+24 + 3.8212977905417654E+24$$

Combine 3.8212977905417654E and 3.8212977905417654E to get 7.6425955810835308E.

$$7.6425955810835308E+24+24$$

Add 24 and 24 to get 48.

$$7.6425955810835308E+48$$

Differentiate w.r.t. E

$$7.6425955810835308$$

Steps Using Derivative Rule for Sum

Evaluate trigonometric functions in the problem

$$3.8212977905417654E+24 + 3.8212977905417654E+24$$

Combine 3.8212977905417654E and 3.8212977905417654E to get 7.6425955810835308E.

$$\frac{\mathrm{d}}{\mathrm{d}E}(7.6425955810835308E+24+24)$$

Add 24 and 24 to get 48.

$$\frac{\mathrm{d}}{\mathrm{d}E}(7.6425955810835308E+48)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$7.6425955810835308E^{1-1}$$

Subtract 1 from 1.

$$7.6425955810835308E^{0}$$

For any term t except 0, t^{0}=1.

$$7.6425955810835308\times 1$$

For any term t, t\times 1=t and 1t=t.

$$7.6425955810835308$$