If cosx = sin20, find the value of x, 0

Solve for x correct to the nearest minute given sin^2 x-3sin xcosx+2cos^2 x=0, where 0≤x≤180

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Mathematics

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10 December, 15:13

If cosx = sin20, find the value of x, 0

Solve for x correct to the nearest minute given sin^2 x-3sin xcosx+2cos^2 x=0, where 0≤x≤180

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Answers (1)

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Randall Guerrero · Answer 1

First find the sine of 20 degrees = 0.34202

Now if we look up the arc cosine of 0.34202 it will be the angle x we are looking for.

arc cosine of 0.34202 = 70 degrees

If cosx = sin20, find the value of x, 0Solve for x correct to the nearest minute given sin^2 x-3sin xcosx+2cos^2 x=0, where 0≤x≤180

If cosx = sin20, find the value of x, 0

Solve for x correct to the nearest minute given sin^2 x-3sin xcosx+2cos^2 x=0, where 0≤x≤180