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