Graph of 7\cos x+5\sin x=2k+1 The question is to find the

Kayleigh Dixon

Kayleigh Dixon

Answered question

2022-01-25

Graph of 7cosx+5sinx=2k+1
The question is to find the number of integral values of k for which the equation
7cosx+5sinx=2k+1 has a solution.
I have solved it by converting the LHS into 74sin(x+α), where α=arctan(75). And then making an inequality with RHS.

Answer & Explanation

trasahed

trasahed

Beginner2022-01-26Added 14 answers

You can write asinx+bcosx in a form Asin(x+ϕ) where
A=a2+b2
in your case A=74<9,so|2k+1|7

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