CALCULUS MATH 2414 QUESTIONS ANSWERS.docx

CALCULUS MATH 2414 QUESTIONS
ANSWERS



sin-x-/-cos-x-=-(Quotient-Identity)---ans-✔✔tan-x

cos-x-/-sin-x-=-(Quotient-Identity)---ans-✔✔cot-x

tan-x-(Reciprocal-Identity)---ans-✔✔1-/-cot-x

cot-x-(Reciprocal-Identity)---ans-✔✔1-/-tan-x

cos-x-(Reciprocal-Identity)---ans-✔✔1-/-sec-x

sec-x-(Reciprocal-Identity)---ans-✔✔1-/-cos-x

csc-x-(Reciprocal-Identity)---ans-✔✔1-/-sin-x

sin-x-(Reciprocal-Identity)---ans-✔✔1-/-csc-x

1-+-cot²x-(Pythagorean-Identity)---ans-✔✔csc²x

1-+-tan²x-(Pythagorean-Identity)---ans-✔✔sec²x

sec²x---1(Pythagorean-Identity)---ans-✔✔tan²x

sin^2-+-cos^2-(Pythagorean-Identity)---ans-✔✔1

√a²---x²---ans-✔✔x-=-a-sin-x

√a²---b²x²---ans-✔✔x-=-a/b-sin-x

√x²---a²---ans-✔✔x-=-a-sec-x

√b²x²---a²---ans-✔✔x-=-a/b-sec-x

√a²-+-x²---ans-✔✔x-=-a-tan-x

√-a²-+-b²x²---ans-✔✔x-=-a/b-tan-x