cos (theta) = -1/7 (theta) = 261.8 degrees. When i punch -1/7 the answer is -.14 then i punch(cos^(-1)) and i get 98.2 degrees?Why dont i get 261.8degrees?

Vorbeckenuc

Vorbeckenuc

Answered question

2022-07-24

cos ( θ ) = 1 / 7
( θ ) = 261.8 degrees.
When i punch -1/7 the answer is -.14 then i punch ( cos 1 ) and i get 98.2 degrees?Why dont i get 261.8degrees?

Answer & Explanation

Osvaldo Crosby

Osvaldo Crosby

Beginner2022-07-25Added 12 answers

First we need to get the postive angle for cos: so enter Cosinverse one and enter ( 1/7) and u get 81.78 degrees. now its asking as negative cos ... so 81.78 + 180= 261.78 degrees:
Graham Beasley

Graham Beasley

Beginner2022-07-26Added 3 answers

In a calculator,
cos 1 (positive number) gives an angle α in the 1st quadrant. Of course, the cosine of another angle β in the 4th quadrant also gives that positive number. Use β = 360 α to obtain value of β.
cos 1 (negative number) gives an angle θ in the 2nd quadrant. Of course, the cosine of another angle ϕ in the 3rd quadrant also gives that negative number. Use ϕ = 180 + θ to obtain value of ϕ.
Now in this question, the cosine of 2 angles give the value of-1/7, they are θ = 98.213 , and ϕ = 180 + 98.213 = 278.213
261.8 is only an approximatevalue of cos 1 ( 1 / 7 ).

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