Anonymous
Anonymous asked in Science & MathematicsMathematics · 4 months ago

Please help?

Attachment image

1 Answer

Relevance
  • Recall that csc(x)^2 - cot(x)^2 = 1

    2 * csc(x)^2 - 5 * cot(x) = -1

    2 * (cot(x)^2 + 1) - 5 * cot(x) = -1

    2 * cot(x)^2 - 5 * cot(x) + 2 + 1 = 0

    2 * cot(x)^2 - 5 * cot(x) + 3 = 0

    Now use the quadratic formula to solve for cot(x)

    cot(x) = (5 +/- sqrt(25 - 24)) / 4

    cot(x) = (5 +/- 1) / 4

    cot(x) = 6/4 , 4/4

    cot(x) = 3/2 , 1

    tan(x) = 2/3 , 1

    x = arctan(2/3) + pi * k , pi/4 + pi * k

    k is an integer

    pi/4 , 5pi/4 , arctan(2/3) , arctan(2/3) + pi

Still have questions? Get answers by asking now.