Question

Angle lies in quadrant 4. Without using a calculator, determine which ratio is valid.
1) sin =0.789
2) tan =0.573
3) sin =-1.083
4)tan = 0.841

Answer 1

It must be three because both sine and tangent are negative in Quadrant IV and thus is the only viable answer; however none are correct because the sine function never exceeds -1 or 1, so I believe this is a mistake.

Answer 2

None of the ratios is valid implies no angle lies in quadrant 4.

Angles lie in quadrant 4. Without using a calculator, it is to determine which ratio is valid from the following 1) sin =0.789, 2) tan =0.573, 3) sin =-1.083 and 4) tan = 0.841.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Since in 4th quadrat only values of cos are positive other else operators tend to give negative value so,
1 ) sin = 0.789, here ratio is positive so it does not lies in quadrant 4.
2) tan = 0.573, it is also positive so it does not lies in quadrant 4.
3) sin = -1.083 this ratio is not possible because sin lies between (-1 to +1).
4) tan =0.841, it is also positive so it does not lie in quadrant 4.

Thus, None of the ratios is valid implies no angle lies in quadrant 4.

Learn more about Ratio here:

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