Question

Ten theta multiplies sin theta is equal to 1-cos^2 theta / 1-sin^2 theta​

Answer 1

To solve the equation 10θsinθ = (1 - cos²θ) / (1 - sin²θ), we can use trigonometric identities. First, we'll simplify the right side of the equation...

Step-by-step explanation:

To solve the equation 10⁣θsin⁣θ = (1 - cos²⁣θ) / (1 - sin²⁣θ), we can use trigonometric identities.

First, we'll simplify the right side of the equation.

Using the identity 1 - sin²⁣θ = cos²⁣θ, we can rewrite the equation as:

10⁣θsin⁣θ = (1 - cos²⁣θ) / cos²⁣θ

Next, multiply both sides of the equation by cos²⁣θ to eliminate the denominator:

10⁣θsin⁣θ * cos²⁣θ = 1 - cos²⁣θ

Now, distribute the cos²⁣θ on the left side of the equation:

10⁣θsin⁣θ * cos²⁣θ = cos²⁣θ - cos⁴⁣θ

Simplifying further:

10⁣θsin⁣θ * cos²⁣θ = cos²⁣θ * (1 - cos²⁣θ)

Divide both sides of the equation by cos²⁣θ:

10⁣θsin⁣θ = 1 - cos²⁣θ

Hence, the solution to the equation is:
⁣θ = 1 / 10