Question

If tan a is equal to 5 upon 12 find the value of secant a

Answer 1

Consider, (sinA + cosA) × secA = (sinA + cosA)/cosA = (sinA/cosA + cosA/cosA) = tanA + 1 = (5/12) + 1 [Given tanA = 5/12] = 17/12

Answer 2

Answer:

SecA = 13/12

Explanation:

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We know the Trigonometric identity:

sec²A = 1+tan²A

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It is given that,

tan A = 5/12 ---(1)

Now ,

sec²A = 1+tan²A

= 1+ (5/12)²

= 1+25/144

= (144+25)/144

= 169/144

SecA = √(169/144)

=> secA = 13/12

Therefore,

secA = 13/12

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