I. Statement I is true as the trigonometric identity sin2x + cos2x = 1.
II. Statements II and III are false as sec2x equals 1 + tan2x and csc2x equals 1 + cot2x, respectively.
III. Statement IV is also false as it does not simplify to 1.
Which of the following are true statementsI. sin2+cos2=1II. sec.pdf
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.