Solving Trigonometric Equations Answers
Evaluate: sin–1(1) 0
Select all of the following that represent the exact solutions of .
Remember the definition of csc(x).To graph y = csc-1(x) on the calculator, which expression should be typed in the calculator?
Which is the graph of the inverse secant function?
Solve: 2sec(x) + 5 = 9Which equation is equivalent to the given equation?
Check all that apply.
Solve: tan(x) – cos2(x) = sin2(x)
Solve 2sin2(x) – 5sin(x) – 3 = 0.Let u = sin(x).Which of the following is equivalent to the given equation?(2u + 1)(u – 3) = 0(2u + 3)(u – 5) = 0(2u – 2)(u – 1) = 0
Does the equation sin2(x) – 4 = 0 have any solutions? Explain.
No, the equation has no solutions. Isolating the sine gives sin(x) = ±2. Because the range of sine is [-1, 1], values ±2 are impossible (they are also outside the domain of arcsin). Hence there are no real solutions.
What is the range of y = csc-1(x) ?
Which are solutions of the given equation?
What are the solutions to the equation?
Which statements did you include in your answer?Isolate sin(x) by adding 4 and taking the square root of both sides.State that sin(x) = 2 or sin(x) = –2.State that –2 and 2 are undefined values of the inverse sine function.There are no solutions because –2 and 2 are not in the domain of the function.
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