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Which of the following are true statements?
I. sin2+cos2=1
II. sec2+1=tan2
III. 1+csc2=cot2
IV. 1csc2+1sec2=1
I am aware I have to re-learn the identies.
Solution
Given the statements:
I. True for Sin2x + Cos2x =1.
II. False, because Sec2x = 1 + tan2x
III. False, because csc2x = 1 + cot2x
iV. False, because is is different to 1.
Let me know if you have any question.

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  • 1. Which of the following are true statements? I. sin2+cos2=1 II. sec2+1=tan2 III. 1+csc2=cot2 IV. 1csc2+1sec2=1 I am aware I have to re-learn the identies. Solution Given the statements: I. True for Sin2x + Cos2x =1. II. False, because Sec2x = 1 + tan2x III. False, because csc2x = 1 + cot2x iV. False, because is is different to 1. Let me know if you have any question.