Write all the other trigonometric ratios of A in terms of sec A

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)


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