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If 4 sinx+3=0 on 0lexlt2pi, Then x=...

If 4 sinx+3=0 on `0lexlt2pi`, Then x=

A

-0.848

B

0.848

C

5.435

D

3.990 or 5.435

Text Solution

Verified by Experts

The correct Answer is:
D
Plot the graph of 4sinx+3 in radian mode in a `[0,2pi]` by[-2,8] window. Use CALC/zero twice to find the correct answer choice.
An alternative solutionj is to solve the equation for sin x and use your calculator, in radian mode: `sin^(-1)(-(3)/(4))=-0.848`.
Since this value is not between 0 and `2pi`, you must find the value of x in the required interval that has the same terminal side `(2pi-0.848=5.435)` as well as the third quadrant angle that has the same refrence angle `(pi+0.848=3.990)`. [7]
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