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How/Why do you get the solutions to a trigonometry equation with multiple angles?

How do you verify #csc^2(theta)(1cos^2(theta))=1#?

A water tower 30 m tall is located at the top of a hill. From a distance of D = 105 m down the hill, it is observed that the angle formed between the top and base of the tower is 8°. How do you find the angle of inclination of the hill?

How do you simplify #(1+tan^2x)/(1+cot^2x)#?

How do you do simplify #cos [sec ^1 (5)]#?

How do you graph # f(x)=1 cos 3x#?

How do you calculate #arcsin 1#?

How do you simplify #arctan (tan 3pi/4)#?

How do you simplify #cotB + (sinB / (1+cosB))#?

How do you sketch y=2sinx when x is between 0 and 360?

How do you simplify #(sin² t  cos² t sin² t) / sin² t#?

How do you find Tan^1(1) without a calculator?