Question

if sec a=2 where a is acute find value of tan a

Answer 1

It is given that
Sec a = 2

and formula is there

1 + Tan a ^2 = sec a^2
         tan a^2 = 4 - 1
          tan a  = root 3
thus   tan a = root 3

Answer 2

Answer:

Value of tanA = √3

and

A = 60°

Explanation:

It is given that secA = 2 ---(1)

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We know the Trigonometric identity:

$\boxed {tan^{2}A=sec^{2}A-1}$

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Now,

tan²A = 2²-1

=> tan²A = 4-1

=> tan²A = 3

=> tanA = √3 ----(1)

=> tanA = tan60°

=> A = 60°------(2)

Therefore,

Value of tanA = √3

and

A = 60°

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