Trigonometric Ratio Quiz 03

The ratios that use ‘hypotenuse’ in the denominator are:
i. \(\sin \theta\)
ii. \(\cos \theta\)
iii. \(\tan \theta\)
iv. \(\csc \theta\)

The trigonometric ratios that are reciprocals of each other are:
i. \(\sin \theta\) and \(\csc \theta\)
ii. \(\cos \theta\) and \(\sec \theta\)
iii. \(\tan \theta\) and \(\cot \theta\)
iv. \(\sin \theta\) and \(\cos \theta\)

Ratios using ‘perpendicular’ in the numerator are:
i. \(\sin \theta\)
ii. \(\tan \theta\)
iii. \(\sec \theta\)
iv. \(\csc \theta\)

Ratios that do NOT involve ‘hypotenuse’ at all:
i. \(\tan \theta\)
ii. \(\cot \theta\)
iii. \(\sec \theta\)
iv. \(\csc \theta\)

Ratios that have ‘hypotenuse’ in the numerator:
i. \(\sec \theta\)
ii. \(\csc \theta\)
iii. \(\sin \theta\)
iv. \(\tan \theta\)

Ratios that are always greater than or equal to 1 for acute angles:
i. \(\csc \theta\)
ii. \(\sin \theta\)
iii. \(\cot \theta\)
iv. \(\sec \theta\)

Which trigonometric ratios can never be zero for an acute angle?
i. \(\sin \theta\)
ii. \(\sec \theta\)
iii. \(\csc \theta\)
iv. \(\tan \theta\)

Ratios that can be greater than 1:
i. \(\tan \theta\)
ii. \(\cot \theta\)
iii. \(\sec \theta\)
iv. \(\csc \theta\)

Ratios that are reciprocals of \(\sin \theta\) and \(\cos \theta\):
i. \(\csc \theta\)
ii. \(\sec \theta\)
iii. \(\tan \theta\)
iv. \(\cot \theta\)

Ratios that use ‘base’ in the numerator:
i. \(\tan \theta\)
ii. \(\sec \theta\)
iii. \(\cos \theta\)
iv. \(\cot \theta\)