Sum and Difference Formulas for Sine, Cosine, and Tangent to Find Exact Values

Unlock the power of trigonometry! 📈 In this video, Mario's Math Tutoring dives deep into the sum and difference formulas for sine, cosine, and tangent, showing you how to find exact values for angles you thought were impossible!

Ever wondered how to get the precise sine of 75 degrees or the tangent of 285 degrees without a calculator? We'll teach you how to leverage the angles you do know from the unit circle to solve for those you don't.

Join us as we work through 6 detailed examples, covering:

Sine of 75 degrees: Using the sum formula for sine.
Cosine of 13π/12: Converting radians to degrees and applying the sum formula for cosine.
Tangent of 285 degrees: Utilizing the difference formula for tangent and rationalizing the denominator.
Sine of 15 degrees: Applying the difference formula for sine.
Cosine of 7π/12: Working with radians and the sum formula for cosine.
Tangent of 165 degrees: Using the sum formula for tangent and simplifying the expression.
By the end of this tutorial, you'll have a solid grasp of these essential trigonometric identities and be able to find exact values for a wide range of angles!

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