If 6sin²Θ - 5cosΘ = 0, find the value of cosΘ.

Answer:




Solving these questions are easy.
You have two different Trigonometric ratios on the same sides.
First step we need to do is put these two different Trigonometric ratios in two different sides of the equal to sign.

Then we need to change the given equation into quadratic equation. Viz. ax²+bx+c=0

Now, to do this we need to have all the terms common.
We know, sin²x = 1 - cos²x

So we will change the given sin² as the identity.

And we will get the quadratic equation. Using the formula of quadratic equation, we can get the value of cosΘ.

You need to solve the quadratic equation.
You can choose any of these methods.
1. Formula  method
2. Completing square method
3. Mid term factorization method

Therefore, this is the way how you find the value of cosΘ in the given question of Trigonometry in mathematics.

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