How do you express the value as a trigonometric function of an angle in Quadrant I given csc(-330^circ)csc(−330∘)?

1 Answer
sankarankalyanam · Surya K.
Mar 11, 2018

color(blue)(csc (30) = 1 / sin 30 = (1 / (1/2)) = 2csc(30)=1sin30=(112)=2

Explanation:

theta = -330^@θ=−330∘ can be written as -330 + 360 = 30^@−330+360=30∘

30^@30∘ is an angle in the first quadrant where all the trigonometric functions are positive.

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csc (30) = 1 / sin 30 = (1 / (1/2)) = 2csc(30)=1sin30=(112)=2 from the table above, sin 30 = 1/2sin30=12

csc (30) = 1 / sin 30 = (1 / (1/2)) = 2csc(30)=1sin30=(112)=2

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