What is the minimum value of 3 sinx+4 cosx ?

1.	What is the minimum value of 3 sinx+4 cosx ?
Answer» Answer: -5 Step-by-step explanation: For CALCULATING the maximum and minimum VALUE of a trigonometric equation we can USE this formula. Condition: The Equation must be of the form: a Cos x + b SIN x. Formula: Maximum Value = √ ( a² + b² ) Minimum Value = - √ ( a² + b² ) In our Case, it is of the form: ⇒ 3 Sin x + 4 Cos x Therefore, a = 4 and b = 3 ⇒ Minimum Value = - ( √ 3² + 4² ) ⇒ Minimum Value = - ( √ 25 ) = - ( 5 ) Hence the minimum value of the function is -5. Have a great day !!

Answer»

Answer:

-5

Step-by-step explanation:

For CALCULATING the maximum and minimum VALUE of a trigonometric equation we can USE this formula.

Condition: The Equation must be of the form: a Cos x + b SIN x.

Formula:

Maximum Value = √ ( a² + b² )
Minimum Value = - √ ( a² + b² )

In our Case, it is of the form:

⇒ 3 Sin x + 4 Cos x

Therefore, a = 4 and b = 3

⇒ Minimum Value = - ( √ 3² + 4² )

⇒ Minimum Value = - ( √ 25 ) = - ( 5 )

Hence the minimum value of the function is -5.

Have a great day !!

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What is the minimum value of 3 sinx+4 cosx ?

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