ANSWERS: 1
  • There are 4 values of x that solve (sin(2x))^4 = 1/8 You really don't need algebra; you just need a calculator and do the following steps: 1. Raise 1/8 (0.125) to the 1/4 (0.25) power. (If your calculator does not have a y^x button, this is the same as taking the square root of 0.125 and then taking the square root again.) 2. Take the inverse sine of the number with the calculator in radian mode. 3. Divide by 2. 4. You now have the angle x in the first quadrant; this is your first value for x. Store this number in the calculator's memory. 5. To find second value for x (the value of x that will make 2x be in the 2nd quadrant), subtract the number that you stored in the calculator's memory in step 4 from π/2. 6. To find the third value for x (the value of x that will make 2x be in the 3rd quadrant), add the number that you stored in the calculator's memory in step 4 to π/2. 7. To find the fourth value for x (the value of x that will make 2x be in the 4th quadrant), subtract the number that you stored in the calculator's memory in step 4 from π. You now have 4 values for x that are the 4 angles that make your original equation true.

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