Q. D\'eterminer deux angles entre 0∘ et 360∘ qui ont une cos\'ecante de 5
Find Sine of Angle: Cosecant is the reciprocal of sine, so we need to find the sine of an angle that is 51. sin(θ)=csc(θ)1=51
Calculate Angle: Now we find the angle whose sine is 51. We use a calculator or inverse sine function.θ=sin−1(51)
Calculate First Angle: Calculating the angle gives us:θ≈11.54∘This is the first angle in the first quadrant.
Find Second Angle: Since sine is positive in the first and second quadrants, we need to find the second angle in the second quadrant.The second angle will be 180°−θ.
Calculate Second Angle: Calculating the second angle: 180∘−11.54∘≈168.46∘ This is the second angle in the second quadrant.
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