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

$\cos A = \dfrac{ \textrm{adjacent}}{\textrm{hypotenuse}} = \dfrac{b}{c}$

$\sin A = \dfrac{ \textrm{opposite}}{\textrm{hypotenuse}} = \dfrac{a}{c}$

$\sec A = \dfrac{1}{\cos A} = \dfrac{\textrm{hypotenuse}}{ \textrm{adjacent}} = \dfrac{c}{b}$

Secant Answer: c/b

$\cot B = \tan A = \dfrac{\sin A}{\cos A} = \dfrac{ \textrm{opposite}}{\textrm{adjacent}} = \dfrac{a}{b}$

Cotangent B Answer: a/b

$\csc A = \dfrac{1}{\sin A} =\dfrac{\textrm{hypotenuse}}{ \textrm{opposite}} = \dfrac{c}{a}$

Cosecant Answer: c/a

$\tan A = \cot B = \dfrac a b$

Tangent Answer: a/b