kwenzekanosipho kwenzekanosipho

13-06-2022
Mathematics

contestada

find general solution of 3sinx=2tanx

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reinhard10158 reinhard10158

13-06-2022

Step-by-step explanation:

remember, tan = sin/cos.

of course, one solution is x = 0. sin(0) = 0, tan(0)=0).

for the general solution we look at x <> 0.

3×sin(x) = 2×tan(x) = 2×sin(x)/cos(x)

3 = 2/cos(x)

3×cos(x) = 2

cos(x) = 2/3

x = 48.1896851...°

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