{"id":1850,"date":"2021-03-02T00:05:50","date_gmt":"2021-03-02T00:05:50","guid":{"rendered":"http:\/\/matej.info\/matejmatika\/?p=1850"},"modified":"2021-05-17T17:04:08","modified_gmt":"2021-05-17T17:04:08","slug":"tf-naloga-5","status":"publish","type":"post","link":"http:\/\/matej.info\/matejmatika\/tf-naloga-5\/","title":{"rendered":"TF – naloga 5"},"content":{"rendered":"\n

Naloga<\/h4><\/path><\/svg><\/div>
\n

a) Naj bo \"\sin\alpha=\frac{3}{5}\" in \"\alpha\" topi kot. Izra\u010dunaj \"\cos 2\alpha\", \"\cot 2\alpha\", \"\tan 2\alpha\", \"\sin(2\alpha-\frac{\pi}{4})\", \"\cos(2\alpha-\frac{\pi}{6})\", \"\tan(\frac{2\pi}{3}+2\alpha).\"<\/p>\n\n\n\n

b) Naj bo \"\cot\alpha=-\frac{8}{17}\" in \"\alpha\" topi kot. Izra\u010dunaj \"\cos 2\alpha\", \"\cot 2\alpha\", \"\sin 2\alpha\", \"\sin(2\alpha+\frac{\pi}{3})\", \"\cos(2\alpha+\frac{13\pi}{4})\", \"\cot(\frac{13\pi}{6}-2\alpha).\"<\/p>\n\n\n\n

c) Naj bo \"\cos \alpha=\frac{24}{25}\" in \"\dfrac{3\pi}{2}<\alpha<2\pi\" . Izra\u010dunaj \"\cos 2\alpha\", \"\tan 2\alpha\", \"\sin 2\alpha\", \"\cos(2\alpha-\frac{5\pi}{3})\", \"\cos(2\alpha-\frac{7\pi}{6})\", \"\tan(\frac{11\pi}{3}-2\alpha).\"<\/p>\n\n\n\n

<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n\n\n\n

Namig<\/h4><\/path><\/svg><\/div>
\n

Uporabi formule za osnovne zveze med kotnimi funkcijami, adicijske izreke in formule za dvojne kote.<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n\n\n\n

Rezultat<\/h4><\/path><\/svg><\/div>
\n

<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

a) Naj bo in topi kot. Izra\u010dunaj , , , … <\/p>\n","protected":false},"author":1,"featured_media":345,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[59,56],"class_list":["post-1850","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-trigonometricne-funkcije","tag-adicijski-izreki","tag-vrednosti-kotnih-funkcij","grid-sizer"],"featured_image_urls_v2":{"full":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1.png",703,503,false],"thumbnail":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1-150x150.png",150,150,true],"medium":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1-300x215.png",300,215,true],"medium_large":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1.png",703,503,false],"large":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1.png",703,503,false],"post-slider-thumb-size":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1-330x190.png",330,190,true],"post-category-slider-size":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1.png",330,236,false],"1536x1536":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1.png",703,503,false],"2048x2048":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1.png",703,503,false],"blossom-coach-schema":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1-600x60.png",600,60,true],"blossom-coach-slider":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1.png",703,503,false],"blossom-coach-fullwidth":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1.png",703,503,false],"blossom-coach-with-sidebar":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1-703x500.png",703,500,true],"blossom-coach-latest":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2021\/03\/TR-1-540x400.png",540,400,true]},"post_excerpt_stackable_v2":"

Naloga a) Naj bo in topi kot. Izra\u010dunaj , , , , , b) Naj bo in topi kot. Izra\u010dunaj , , , , , c) Naj bo in . Izra\u010dunaj , , , , , Namig Uporabi formule za osnovne zveze med kotnimi funkcijami, adicijske izreke in formule za dvojne kote. Rezultat<\/p>\n","category_list_v2":"Trigonometri\u010dne funkcije<\/a>","author_info_v2":{"name":"profM","url":"http:\/\/matej.info\/matejmatika\/author\/profm\/"},"comments_num_v2":"0 comments","_links":{"self":[{"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/posts\/1850","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/comments?post=1850"}],"version-history":[{"count":8,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/posts\/1850\/revisions"}],"predecessor-version":[{"id":1862,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/posts\/1850\/revisions\/1862"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/media\/345"}],"wp:attachment":[{"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/media?parent=1850"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/categories?post=1850"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/tags?post=1850"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}