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Can the sine of an angle ever equal 2?

Updated: 6/23/2022
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βˆ™ 13y ago

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Sine of an angle cannot be 2,

as you must be knowing, sin90=1,

u may conclude that sin180=2.

but 180 degree cannot be an angle of a triangle,

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βˆ™ 13y ago
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Sophia Liao

Lvl 4
βˆ™ 1y ago

No, it cannot. One reason is because 2 is greated than 1

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Q: Can the sine of an angle ever equal 2?
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When you subtract theta from 180 ( if theta is between 90 degrees and 180 degrees) you will get the reference angle of theta; the results of sine theta and sine of its reference angle will be the same and only the sign will be different depends on which quadrant the angle is located. Ex. 150 degrees' reference angle will be 30 degrees (180-150) sin150=1/2 (2nd quadrant); sin30=1/2 (1st quadrant) 1st quadrant: all trig functions are positive 2nd: sine and csc are positive 3rd: tangent and cot are positive 4th: cosine and secant are positive


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1/2 the base times the height. If given only the length of equal sides and the angle formed between them, assuming side length 'l' and angle as 'x' square of 'l' multiplied by sine of x divided by 2 It is given by under root 3 divided by 4 multiplied by a2 where "a" is the length of the equal side


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