Срочно помогите упростите выражение 2sin^2x+3+2ctg^2x*sin^2x. Created by Ruslan132. algebra-ru

Срочно помогите упростите выражение 2sin^2x+3+2ctg^2x*sin^2x...

August 2022 1 9 Report

Срочно помогите упростите выражение 2sin^2x+3+2ctg^2x*sin^2x

Answers & Comments

marasan7 2sin^2x+3+2ctg^2x*sin^2x = 5, т.к. (ctg2x = cos2x/sin2x, sin^2x +cos^2x = 1), то:

1) ctg^2x = cos^2x/sin^2x
2) 2ctg^2x*sin^2x = 2cos^2x/sin^2x * sin^2x = 2cos^2x
3) 2sin^2x + 2cos^2x + 3 = 2 * 1 + 3 = 5

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