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Let 𝑝=sin50° and 𝑞=cos110°.Express sin130° in terms of 𝑝 and/or

Question

Let 𝑝=sin50° and 𝑞=cos110°.Express sin130° in terms of 𝑝 and/or

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Solution

Sure, let's solve this step by step.

First, we need to understand the relationship between the angles given and the angle we want to find the sine of.

We know that sin(180° - θ) = sinθ and cos(180° - θ) = -cosθ.

So, sin130° = sin(180° - 50°) = sin50° = p.

Also, cos110° = cos(180° - 70°) = -cos70°. But cos70° = sin(90° - 70°) = sin20°.

However, we don't have a direct relationship to express sin20° in terms of p or q.

Therefore, we can't express sin130° only in terms of p and q.

This problem has been solved

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