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Compound angle identities ​sin(A+B)​ and ​cos(A+B), double angle identity for ​tan2θ, and pythagorean identity for reciprocal trig functions.
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If we take the identity ​sin2θ+cos2θ=1​ and divide through by ​cos2θ​ we find
If we take the identity ​sin2θ+cos2θ=1​ and divide through by ​sin2θ​ we find
The double angle identity for tan states that
The compound angle identity for ​tan​ states that