Question

If 5sine - 12cost = 0, find the values of cot .​

Answer 1

Answer:

5sin - 12 cos = 0

Step-by-step explanation:

now 5sin = 12 cos

.

sin/cos = 12/5

.

.

tan = 12/5

now cot = 5/12

hope you are satisfied

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Answer 2

$5sinx - 12cosx = 0 \\ 5sinx = 12cosx \\ \\ squaring \: on \: both \: sides \\ \\ 25 {sin}^{2} x = 144 {cos}^{2} x \\ 25 {sin}^{2} x = 144(1 - {sin}^{2}x) \\ 25 {sin}^{2}x = 144 - 144 {sin}^{2} x \\ 169 {sin}^{2} x = 144 \\ {sin}^{2} x = \frac{144}{169} \\ \\ taking \: square \: roots \: on \: both \: sides \\ \\ sinx = \frac{12}{13} = \frac{a}{c}$

using Pythagoras' theorem;

b = 5

$cotx = \frac{b}{a} \\ cotx = \frac{5}{12}$