SinA can be expressed in terms of sec A as:

sinA = √sin²A

= √(1 -cos²A)

= √[1 - (1/cos²A)]

= √[(sec²A -1)/sec²A]

= [√(sec²A -1)]/secA

Now,

cosA can be expressed in terms of secA as:

cosA =

TanA can be expressed in the form of secA as:

tanA = √(sec²A -1)

cosec A can be expressed in the form of sec A as:

cosec A =

= 1/√sin²A

=1/√(1 –cos²A)

=sec A/√(sec²A -1)

Cot A can be expressed in terms of sec A as:

cot A =

=1/(√tan²)

= 1/√(sec²A -1)