i need help on improving how to work this problem

Question

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)

cos θ sin θ − 7 cos θ = 0

θ =

 

Answer 1

Step 1:

The trigonometric equation is .

Solve the equation.

Factors are and

General solution for :

General solution for .

Since is greater than one, thus it has no real solutions.

Let is an integer, then

Solution :

The solution of the trigonometric equation

Comments

This answer is wrong I figured it out and the answer is pie/2+kpie

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General solution for :

This is also including the answer.

Observe the question,

Let be any integer, then substitute values.

Therefore, the solution is,