Prove that &#x2212;<!-- − --> 4 &#x2264;<!-- ≤ --> 5 cos &#x2061;<!-- ⁡ --> &#

Edith Mayer

Edith Mayer

Answered question

2022-05-15

Prove that 4 5 cos θ + 3 cos ( θ + π 3 ) + 3 10

Answer & Explanation

Ariella Bruce

Ariella Bruce

Beginner2022-05-16Added 19 answers

You can use this
f ( x ) = a sin ( x ) + b cos ( x ) = a 2 + b 2 sin ( x + α )
where cos α = a a 2 + b 2 . So clearly
a 2 + b 2 f ( x ) a 2 + b 2
Now in your given equation
g ( x ) = 13 2 cos ( x ) 3 3 2 sin ( x ) + 3 = h ( x ) + 3
where h ( x ) = 13 2 cos ( x ) 3 3 2 sin ( x )
Clearly from above argument, 7 h ( x ) 7
So
4 g ( x ) 10
which is the answer.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?