Find three equivalent trig ratios to sin 110 degrees.

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thilina-g | College Teacher | (Level 1) Educator

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sin(110), this can be rewritten as sin(180-70).

Now we know from basic trignometry,

`sin(180-theta) = sin(theta)`

Therefore,

sin(110) = sin(70)

sin(70) can be rewritten as sin(90-20). According to basic trignometry,

`sin(90-theta) =cos(theta)`

Therefore, sin(70) = cos(20), so sin(110) = cos(20)

`cos(360-theta) =cos(theta)`

cos(20) = cos(360-20)

cos(20) = cos(340)


Therefore sin(110) = cos(340)

 

Three equivalent trig ratios are,

sin(110) = sin(70) =cos(20) = cos(340)

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