Question

if 1+cos^2A=3cosAsinA,find the value of cotA

Answer 1

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1 + cos^2A= 3cosA sinA

1 +( 1 - sin^2A )=3cosA sinA

2 - sin^2A = 3 (cosA sinA )

( 2 - sin^2 A ) / cosA sinA = 3

( 2 /cosAsinA - sin^2A/ cosA sinA = 3

2secA cosecA - tanA = 3

2secA cosecA - 3 = tanA

tanA = 2secA cosecA - 3

now as we know that

cot A = 1 / tanA

cot A = 1 / ( 2secA cosecA - 3 )

Answer 2

Answer:

1,2

Step-by-step explanation: