(a) Given that f(x) = 2 cos x-5 sinx, where 0° ≤ x ≤ 360°. Express f(x) in the form of R cos(x + 0), where R> 0 and 0° ≤ 0 ≤ 90°. Hence, find the values of x for which the expression has the extreme values. Determine the value of x which satisfy the equation f(x)=√(29)/2

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02-11-2022
Mathematics

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(a) Given that f(x) = 2 cos x-5 sinx, where 0° ≤ x ≤ 360°. Express f(x) in the form of R cos(x + 0), where R> 0 and 0° ≤ 0 ≤ 90°. Hence, find the values of x for which the expression has the extreme values. Determine the value of x which satisfy the equation f(x)=√(29)/2

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(a) Given that f(x) = 2 cos x-5 sinx, where 0° ≤ x ≤ 360°. Express f(x) in the form of R cos(x + 0), where R> 0 and 0° ≤ 0 ≤ 90°. Hence, find the values of x for which the expression has the extreme values. Determine the value of x which satisfy the equation f(x)=√(29)/2​

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(a) Given that f(x) = 2 cos x-5 sinx, where 0° ≤ x ≤ 360°. Express f(x) in the form of R cos(x + 0), where R> 0 and 0° ≤ 0 ≤ 90°. Hence, find the values of x for which the expression has the extreme values. Determine the value of x which satisfy the equation f(x)=√(29)/2