Trigonometry
This question is related to sexagesimal system
Transcript
00:00This is unit 6, trigonometry and bearing exercise 6.1, question number 1.
00:06In this question we have to convert the measure of angle in seconds.
00:09Ab hum angles ko aur seconds ko kis tarah se relate kar sakte hain.
00:15Basically yeh aapka sexagesimal system hai.
00:18Sexagesimal system mein ek degree 60 minutes ke equal hota hai, ek minute 60 seconds ke
00:25equal hai.
00:26To finally ek degree 36 seconds ke equal hota hai ki because hum 6 ko 6 se multiply
00:31karein to 36 aur 2 zeroes aapke paas yahaan chaayenge.
00:35Aapne convert karna hai angles ko seconds mein, to ab humein pata hai ki humare paas
00:40ek degree 36 seconds ke, sorry 36 hundred seconds ke equal hai.
00:46Aap simply multiply kar toge, aap jab 5 degrees ko 36 hundred se multiply karoge to aapke
00:57paas answer aa chayega, 36 ko aap 5 se karoge to aapke paas aa chayega 180 aur 2 zeroes
01:07end mein add ho chayenge.
01:10So basically 5 degrees aapke paas equal ho chayenge 18 thousand seconds ke.
01:23In second part aapke paas 30 minutes hain aur aapne inko bhi seconds mein convert karna
01:29hai.
01:30Ab ek minute aapke paas 60 seconds ke equal hai, to 30 minutes kis ke equal hongi, very
01:35simple question.
01:36Aap 30 ko multiply kar to 60 se, 36 aur 18, 1, 2, jitne zeroes end mein hote hain wo end
01:45mein aa chaate hain.
01:46To aapke paas basically ab aapke paas 30 minutes barabar ho chayenge 18 hundred seconds ke.
01:57Third part of the same question, 10 degrees 30 seconds, sorry 30 minutes humne isko seconds
02:05mein convert karna hai.
02:07To aapko pata hai ek degree jo hai 36 hundred seconds ke equal hai.
02:16So first of all aap 10 ko multiply kar toge 36 hundred se aur ye 30 minutes hain ye simply
02:29multiply ho chayenge 60 se.
02:32To ye bhi aapke paas seconds mein change ho chayenge aur ye bhi.
02:36Ye plus aap sift ye show kar raha hai ki ye duno ek hi quantities hain, hum inko wapas
02:41isko hata denge aur inko mila ke lik denge.
02:4410 ko jab aap 36 se multiply karoge to aapke paas aa chayenge 36, 36 ko 1 se multiply karo
02:5236, 1, 2, 3, 3 zeroes aapke end mein aa chayenge.
02:58Similarly 3 ko 6 se multiply karo to aapke paas 18 ho jayega and 2 zeroes will come here.
03:05Ab hum is quantity ko add karein to humare paas banta hai 3, 7, 8, 0, 0 seconds.
03:14Now the fourth part of the question aapke paas 20 degrees hain, 20 minutes hain aur 20 seconds
03:19hain.
03:20Humne sari quantity ko convert karna hai seconds ke andar.
03:241 degree is just equal to 3600 seconds and 1 degree is again equals to 60 minutes.
03:34Ab hum dekho ki aapne isko seconds me convert karna hai to sabse pehle jab aap 20 degrees
03:40ko convert karoge to aap isko 3600 se multiply kar toge.
03:47Then comes 20 minutes, jab aap 20 minutes ko convert karoge seconds mein to aap isko
03:51simply 60 se multiply kar toge.
03:54To aapki paas ki quantity 20 seconds hain, iska hum obviously kuch bhi nahi karenge
03:59ki as it is add ho jayega.
04:02Ab aap isko solve karo, 2 ko 36 se multiply karo to aapke paas 72 aata hai, 1, 2, 3.
04:093 zeroes will come here, 2, 6, 8, 12, 2, 0 yahan aa chayenge.
04:16Ab ye 3 ho quantities aapke paas basically seconds ki hain.
04:20To what you get is 7322 seconds that's it.