Trigonometry: Trigonometric Functions

Problems

Problem : Why do the following pairs of functions always have the same sign: sine and cosecant, cosine and secant, tangent and cotangent?

Problem : In which quadrant do the most trigonometric functions have negative signs?

Problem : Which value in the following group is not equal to the others: sin() , cos(Π) , cot() , sec(0) ?

Problem : Which value in the following group has a different sign from the others: sin() , sec() , cot() , cos() ?

Problem : When θ = Π , which two trigonometric functions are undefined?

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