Basic Math Examples

cos (A) + sin (A) = tan (A) + 1 \div sec (A)

$\cos (A) + \sin (A) = \tan (A) + 1 \div \sec (A)$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

cos (A) + sin (A) = tan (A) + \frac{1}{sec (A)}

$\cos (A) + \sin (A) = \tan (A) + \frac{1}{\sec (A)}$

Step 1.2

Rewrite

sec (A)

$\sec (A)$ in terms of sines and cosines.

cos (A) + sin (A) = tan (A) + \frac{1}{\frac{1}{cos (A)}}

$\cos (A) + \sin (A) = \tan (A) + \frac{1}{\frac{1}{\cos (A)}}$

Step 1.3

Multiply by the reciprocal of the fraction to divide by

\frac{1}{cos (A)}

$\frac{1}{\cos (A)}$ .

cos (A) + sin (A) = tan (A) + 1 cos (A)

$\cos (A) + \sin (A) = \tan (A) + 1 \cos (A)$

Step 1.4

Multiply

cos (A)

$\cos (A)$ by

1

$1$ .

cos (A) + sin (A) = tan (A) + cos (A)

$\cos (A) + \sin (A) = \tan (A) + \cos (A)$

cos (A) + sin (A) = tan (A) + cos (A)

$\cos (A) + \sin (A) = \tan (A) + \cos (A)$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

A \approx 0, - 3.14159265, 3.14159265, - 6.284375, 6.284375, - 9.42477796, 9.42477796

$A \approx 0, - 3.14159265, 3.14159265, - 6.284375, 6.284375, - 9.42477796, 9.42477796$

Step 3