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Solve equations using reciprocal trig identities

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What are the reciprocal trigonometric functions?
The reciprocal trigonometric functions are secant (sec), cosecant (cosec) and tangent (tan).
\(\begin{array}{l}\sec \theta = \frac{1}{{\cos \theta }}\\{\rm{cosec}}\theta = \frac{1}{{\sin \theta }}\\\cot \theta = \frac{1}{{\tan \theta }}\end{array}\)

Sec, cosec and cot trig ratios and graphs
How to solve trigonometric identities with reciprocal trig functions?
C3 Edexcel June 2012 Q5(a)(b)

Core 3 - Trigonometry - Reciprocal functions - C3 A Level Maths Edexcel,


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