# Trigonometry Examples

Solve for t 1/2=5e^(-2.3t)cos(10pit)
Rewrite the equation as .
Divide each term by and simplify.
Divide each term in by .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Divide by .
Simplify .
Multiply by .
Simplify .
Multiply and .
Multiply by .
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Use logarithm rules to move out of the exponent.
The natural logarithm of is .
Multiply by .
Expand the right side of the equation.
Rewrite as .
The natural logarithm of is .
Rewrite as .
Rewrite as .
Apply the distributive property.
Simplify the expression.
Remove unnecessary parentheses.
Subtract from .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Simplify each term.
Move the negative in front of the fraction.
Multiply by .
Factor out of .
Separate fractions.
Divide by .
Divide by .
Multiply by .
Multiply by .
Move the negative in front of the fraction.
Multiply by .
Factor out of .
Separate fractions.
Divide by .
Divide by .
Multiply by .
Multiply by .
Verify each of the solutions by substituting them into and solving.
The result can be shown in multiple forms.
Exact Form:
Decimal Form: