Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the lefthand side of the equality sign is equal to the term on the righthand side. To verify rational trigonometric identities, it is usually more convenient to start with getting rid of the denominator(s) of the rational term(s). This can be done by multiplying both the numerator and the denominator by the conjugate if the denominator involves addition/subtraction or by the reciprocal if the denominator involves product.

After evaluating the rational terms, we can then further reduce the trigonometric identity using any of the common trigonometric identities like the quotient, reciprocal, even, odd, cofunction, and Pythagoras trigonometric identities or all the trigonometric functions can be converted to sine and cosine functions.

Timestamps:
0:00 Intro
0:30 Start of Problem

Corrections:
3:52 I mistyped the function; it's cos, not csc; It was corrected later in the video.

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Organized Videos:
✅ Verify Trigonometric Identities
   • Verify Trigonometric Identities  
✅ Verify Simple Trigonometric Identities
   • Verify Simple Trigonometric Identities  
✅ Verify Trigonometric Identities with Rational Expressions
   • Verify Trigonometric Identities with ...  
✅ Verify Trigonometric Identities by Multiplying
   • Verify Trigonometric Identities by Mu...  
✅ Verify Trigonometric Identities by Adding and Subtracting
   • Verify Trigonometric Identities by Ad...  
✅ Verify Trigonometric Identities with Fractions
   • Verify Trigonometric Identities with ...  
✅ Verify Trigonometric Identities by Pythagorean Identities
   • Verify Trigonometric Identities by Py...  

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