It is a FALSE statement.
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Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).
Yes, sine, cosine, tangent definitions are based on right triangles
No, it does not.
Trigonometry