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Trigonometry Examples
Step 1
Step 1.1
To find the x-intercept(s), substitute in for and solve for .
Step 1.2
Solve the equation.
Step 1.2.1
Rewrite the equation as .
Step 1.2.2
Divide each term in by and simplify.
Step 1.2.2.1
Divide each term in by .
Step 1.2.2.2
Simplify the left side.
Step 1.2.2.2.1
Cancel the common factor of .
Step 1.2.2.2.1.1
Cancel the common factor.
Step 1.2.2.2.1.2
Divide by .
Step 1.2.2.3
Simplify the right side.
Step 1.2.2.3.1
Divide by .
Step 1.2.3
The range of secant is and . Since does not fall in this range, there is no solution.
No solution
No solution
Step 1.3
To find the x-intercept(s), substitute in for and solve for .
x-intercept(s):
x-intercept(s):
Step 2
Step 2.1
To find the y-intercept(s), substitute in for and solve for .
Step 2.2
Solve the equation.
Step 2.2.1
Remove parentheses.
Step 2.2.2
Simplify .
Step 2.2.2.1
The exact value of is .
Step 2.2.2.2
Multiply by .
Step 2.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 3
List the intersections.
x-intercept(s):
y-intercept(s):
Step 4