. Write all the other trigonometric ratios of


∠ A in terms of sec A

Best Answer

Solution: 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/ sin A

= 1/√sin2A

=1/√(1 –cos2A)

=sec A/√(sec2A -1)

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

cot A = 1/ Tan A

=1/(√tan2)

= 1/√(sec2A -1)

 

 

 

 

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