Найдите cosα, если sinα = [tex] \sqrt \frac{21}{5} [/tex] и α∈ (π/2 ; π). Created by Yukinaya. algebra-ru

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Найдите cosα, если sinα = [tex] \sqrt \frac{21}{5} [/tex] и α∈ (π/2 ; π)

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kirichekov

Verified answer

Sin²α+cos²α=1
(√21/5)²+cos²α=1
cos²α=1-21/25
cos²α=4/25
cosα=+-√(4/25)
cosα=+-2/5
по условию α∈(π/2;π), ⇒cosα<0
ответ: cosα=-2/5 или cosα=-0,4

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mozg ne dumaet kakaya proizvodnaya

nu ya vizhu chto vy ne spite i ochen hotite zarabotat nemnogo ballov pravda za

ch v nachalnyj moment vremeni t0 0 rasstoyanie mezhdu nimi 18 km za kakoe vremya

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