Ask Question
13 June, 11:10

If cos theta = - 2/3 which of the following are possible?

A. sin theta = - (sq5) / 3 and tan theta = (sq5) / 2

B. csc theta = 3 / (sq5) and tan theta = - (sq5) / 2

C. csc theta = - 3/2 and tan theta = (sq5) / 2

D. sin theta = (sq5) / 3 and tan theta = (sq5) / 2

+1
Answers (1)
  1. 13 June, 13:03
    0
    sin theta = opp/hyp = √5/3 = (sq5) / 3

    csc theta = 1 / sin theta = 1 / (√5/3) = 1 x 3/√5 = 3/√5 = 3 / (sq5)

    csc theta = 3 / (sq5) and tan theta = - (sq5) / 2 = B

    Step-by-step explanation:

    if cos theta = - 2/3

    the - 2 is adjacent

    3 is the hypothenus

    using pythagoras theorem

    (hypothenus) ² = (opposite) ² + (adjacent) ²

    3² = opp² + (-2) ² = opp² + (4)

    9-4 = opp² = 5

    opp = √5

    sin theta = opp/hyp = √5/3 = (sq5) / 3

    tan theta = opp/adj = √5/-2 = (sq5) / 2

    csc theta = 1 / sin theta = 1 / (√5/3) = 1 x 3/√5 = 3/√5 = 3 / (sq5)

    csc theta = 3 / (sq5) and tan theta = - (sq5) / 2 = b
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “If cos theta = - 2/3 which of the following are possible? A. sin theta = - (sq5) / 3 and tan theta = (sq5) / 2 B. csc theta = 3 / (sq5) and ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers