Question

if sec A= under root 2 find the value of tan A​

Answer 1

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}

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°

•••••

Answer 2

Answer:

if secA=√2

Step-by-step explanation:

secA=sec45

A=45

tanA=tan45=1

hence tanA =1