Sine, Cosine, and tangent have reciprocal trig identities. The reciprocal tangent identity (sine over cosine) can be solved using the Pythagorean theorem, as well.
1. The first step in solving a reciprocal equation is to replace every minor trig function with its major trig function reciprocal identity.
2. Once each trig function is in sine, cosine, or tangent form, it is easier to simplify.
3. Solve the equation as you would for complex fractions. Cancel out similar equations.
Occasionally, you must multiply by the conjugate of an equation to solve.
1. Multiply by its conjugate to simplify the denominator.
2. When multiplying by a conjugate, (a-b) * (a+b) = (a2-b2)
Follow these videos for extra help and clarification: