Question

if cos A = 7/25 find the value of tan A+cot+ A​

Answer 1

Answer:

Your answer is 625 / 168

Step-by-step explanation:

Cos A = adj / hyp

Cos A = 7 / 25

By Pythagoras theorem

A² + B² = C²

7² + B² = 25²

49 +B² =  625

B² = 625 - 49

B = √576

B = 24

All sides ; A=7 ; B=24 ; C=25

now,

Tan A = opp/adj

Tan A = B/A = 24 / 7

Tan A = 24/7

Cot A = 1/Tan A

So, Cot A = 1/(24/7)

Cot A = 7/24

now ,

    Tan A + Cot A = 24/7 + 7/24

                             = 24(24) + 7(7)/7(24)     (LCM)

                             = (576 + 49) / 168

                             = 625 / 168

Your answer is 625 / 168

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