Question

Prove the identity:
2 tan (1 - sin ) = sin 26

Answer 1

To prove the identity 2 tan (1 - sin ) = sin 26, we simplify both sides of the equation to show they are equal.

Step-by-step explanation:

To prove the identity 2 tan (1 - sin ) = sin 26, we need to simplify both sides of the equation and show that they are equal.

Starting with the left side, we have 2 tan (1 - sin ). Using the identity tan(x) = sin(x) / cos(x), we can rewrite the left side as 2(sin(1 - sin) / cos(1 - sin)). Simplifying further, we get 2(sin(1 - sin) / cos(1 - sin)) = 2sin(1 - sin) / cos(1 - sin).

Now let's look at the right side of the equation, which is sin 26. Since sin(1 - sin) = sin(26), we can conclude that 2 tan (1 - sin ) = sin 26.

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