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Assume the first term is cos-squared(theta) rather than cos(2*theta).
6cos2(t) + 5cos(t) - 4 = 0
[6cos2(t) + 8cos(t) - 3 cos(t) - 4] = 0
[3cos(t) + 4]*[2cos(t) - 1] = 0
which gives
3cos(t) = -4 so that cos(t) = -4/3
or
2cos(t) = 1 so that cos(t) = 1/2
The first of these is clearly not a possible solution, whereas the second can hve one or more solutions, depending on the domain - which is not specified in the question.
If the initial assumption is incorrect and the first term WAS 6cos(2*theta) then using the formula for double angles:
cos(2(t) = cos2(t) - sin2(t) = cos2(t) - [1 - cos2(t)] = 2cos2(t) - 1
and so, the equation becomes
6*[2cos2(t) - 1] + 5cos(t) - 4 = 0
or 12cos2(t) + 5cos(t) - 10 = 0
Solve this quadratic equation for cos(t) and then find the values of t (or theta) within the domain specified.
What else can I help you with?
How do you solve 1 minus 2cos squared theta?
Since there is no equation, there is nothing that can be solved.
What is Cos Theta minus Cos Theta?
Zero. Anything minus itself is zero.
What is sine squared theta subtract six cosine squared theta divided by one minus seven cosine squared theta?
It is 1.
What is sin theta minus 2?
It is a mathematical expression.
Can you solve sin 2 theta equals 0?
If sin2(theta) = 0, then theta is N pi, N being any integer
What does 1 minus cosine theta equal?
There is no easy simplification.
How do you solve 1 minus 2cos squared theta?
Since there is no equation, there is nothing that can be solved.
How do you solve theta if cos squared theta equals 1 and 0 is less than or equal to theta which is less than 2pi?
cos2(theta) = 1 so cos(theta) = ±1 cos(theta) = -1 => theta = pi cos(theta) = 1 => theta = 0
What is Cos Theta minus Cos Theta?
Zero. Anything minus itself is zero.
How can you verify 1 plus tan theta divided by 1 minus tan theta equals cot theta plus 1 divided by cot theta minus 1?
It depends if 1 plus tan theta is divided or multiplied by 1 minus tan theta.
What is cos 90 minus theta?
cosine (90- theta) = sine (theta)
What is tan theta minus cot theta?
-2(cot2theta)
What does negative sine squared plus cosine squared equal?
To determine what negative sine squared plus cosine squared is equal to, start with the primary trigonometric identity, which is based on the pythagorean theorem...sin2(theta) + cos2(theta) = 1... and then solve for the question...cos2(theta) = 1 - sin2(theta)2 cos2(theta) = 1 - sin2(theta) + cos2(theta)2 cos2(theta) - 1 = - sin2(theta) + cos2(theta)
What is sec squared theta times cos squared theta minus tan squared theta?
Tan^2
How do you solve r squared equals theta?
If r-squared = theta then r = ±sqrt(theta)
What is sine squared theta subtract six cosine squared theta divided by one minus seven cosine squared theta?
It is 1.
What is sin theta minus 2?
It is a mathematical expression.
