Question

What is the secant of angle A?

What is the cotangent of angle B?
What is the cosecant of angle A?
What is the tangent of angle A?

Answer 1

`\cos A = \frac{ \textrm{adjacent}}{\textrm{hypotenuse}} = (b)/(c)`

`\sin A = \frac{ \textrm{opposite}}{\textrm{hypotenuse}} = (a)/(c)`

`\sec A = (1)/(\cos A) = \frac{\textrm{hypotenuse}}{ \textrm{adjacent}} = (c)/(b)`

Secant Answer: c/b

`\cot B = \tan A = (\sin A)/(\cos A) = \frac{ \textrm{opposite}}{\textrm{adjacent}} = (a)/(b)`

Cotangent B Answer: a/b

`\csc A = (1)/(\sin A) =\frac{\textrm{hypotenuse}}{ \textrm{opposite}} = (c)/(a)`

Cosecant Answer: c/a

`\tan A = \cot B = \frac a b`

Tangent Answer: a/b