Question

if 3sec A-5=0 then cot A​

Answer 1

Answer:

cot A=4/3

Step-by-step explanation:

$3 \sec A - 5=0\\\sec A=5/3\\\\\cot A=\sqrt {\sec^2A-1}\\=\sqrt{(5/3)^2-1}\\=\sqrt{\frac{25-9}{9} }\\\\=\sqrt{16/9}\\=4/3$

<hope it helps>

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Answer 2

Answer:

3/4

Step-by-step explanation:

3sec A-5=0

3sec A=5

sec A =5/3

sec A=hypotenuse/adjacent

find opposite

by using pythagoras theorem

opposite²+adjacent²=hypotenuse²

opposite²+3²=5²

opposite²+9=25

opposite²=16

opposite=4

cot A=adjacent/opposite

cot A=3/4