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8. Important formula:  sin (A+B)=sin A. cos B+ cos A.sin B  (0)  (a)  (b) sin (A-B) sinA.cos B-cosA.sin B  (g)  (0)  (c)  cos(A+B) cosA.cosB-sinA.sin (d) cos(A-B)=cosA.cosB+sinAsinB  9.  tan(A+B)= tan A+tan B  (e)  1-tan A. tan B  (a)  tan(A-B)-tan A-tan B  1+ fan A. tan B cot(A+B)=cot A.cot B-1 cot A+cot B (h) cot(A-B)= cot A.cot B+1. cot B-cot A sin(A+B) (1) tan A+ tan B-- cos A.cos B +, Bzka) (j) cot A +cot B sin(B+A) sin A.sin B Yes Am. B ka+ (k) sin A+ sin B = 2 sin- A+B 2 A-B 2 .cos A+B A-B (1) sin A-sin B=2 cos-sin-2 (A+B)2 A-B (m) cos A+ cos B=2 cos A+B B-A (n) B B an B tan B cos A-cos B-2sin 2 (0) sin(A+B)+sin(A-B) = 2 sinA. cos B (p) sin(A+B)-sin(A-B)=2 cos A. sin B (q) cos(A+B)+cos(A-B)=2 cosA.cosB (1) 9. cos(A-B) cos(A+B)=2sinA.sinB Important formulas for multiple/sub-multiple of an angle (a) sin 2A 2 sin A.cos A = 1+tan² A 74 5 X.K. Publishers (b) 1-tan A cos 2A=cos A-sin A=- 1+tan A -2 cos A-1 1-2 s...

Many daily use products, not only beverages use Aspartame as a sugar alternative as it has zero calories and no bitter aftertaste like other sugar-free options. The Reuters report that Aspartame is going to be marked as a carcinogen has triggered health concerns. List of products that use Aspartame Diet Coke Coca-Cola Extra sugarfree Mars chewing gum Jell-O Sugarfree gelatin dessert mix Snapple zero sugar tea and juice drinks Sugar Twin 1 sweetener packets Equal zero calorie sweeteners Trident sugar-free peppermint gums What is a carcinogen? Carcinogens are substances that can cause cancer to humans. There are four levels of carcinogens: carcinogenic, probably carcinogenic, possibly carcinogenic and not classifiable. According to the Reuters report, Aspartame is likely to be classified as possibly carcinogenic -- the third category. What are other substances possibly carcinogenic? Carpentry Traditional Asian picked vegetables Occupational exposures in printing processes Occup...

in (  ENGLISH )  Your vision from sci-fi films is coming to reality as flying cars are all set to leap out of your imagination and onto the horizon. Yes, you read that right! A fully functional   electric car that you can drive on the roads as well as fly in the sky has just become the first flying car to receive legal approval to fly from the US  government. _________________ The flying car, developed by the US-based Alef Aeronautics, has received approval from the US government. The company announced that its car, known as Model A, has received the Special   Airworthiness Certification from the US Federal Aviation Administration (FAA). This development is historic as it marks the first time a vehicle of this kind has been certified in the US.----- 'The FAA is actively working on its policies for electrical vertical takeoff and landing (eVTOL) vehicles, as well as governing interactions between eVTOLs and ground infrastructure,' the company stated in ...

Fishy! JP Morgan accidentally deletes evidence in multi-million record retention screwup JP Morgan has been fined $4 million by America's securities watchdog, the SEC, for deleting millions of email records dating from 2018 relating to its Chase Bank subsidiary. The financial services giant apparently deleted somewhere in the region of 47 million electronic communications records from about 8,700 electronic mailboxes covering the period January 1 through to April 23, 2018. Many of these, it turns out, were business records that were required to be retained under the Securities Exchange Act of 1934, the SEC said in a filing detailing its findings. Worse still, the screwup meant that it couldn't produce evidence that that the SEC and others subpoenaed in their investigations. "In at least 12 civil securities-related regulatory investigations, eight of which were conducted by the Commission staff, JPMorgan received subpoenas and document requests for communications which coul...

नोटिफाई एक्ट, एक द्विदलीय विधेयक जो मंगलवार को प्रभावी होता है, चोरी, नकली या हानिकारक उत्पादों की बिक्री को रोकने के लिए ऑनलाइन मार्केटप्लेस को अपने विक्रेताओं की पहचान का खुलासा और सत्यापन करने की आवश्यकता होती है।   यह बिल तब आया जब खुदरा विक्रेताओं और व्यापार समूहों ने कांग्रेस में पैरवी की और खुदरा चोरी में वृद्धि के लिए ईबे और अमेज़ॅन जैसे ऑनलाइन बाज़ारों को दोषी ठहराया।   कानून का अनुपालन नहीं करने वाले ऑनलाइन बाज़ारों को प्रत्येक उल्लंघन के लिए $50,000 से अधिक जुर्माने का सामना करना पड़ सकता है। इन्फॉर्म एक्ट, एक नया कानून है जिसका उद्देश्य संगठित खुदरा चोरी और ऑनलाइन प्लेटफ़ॉर्म पर नकली और हानिकारक उत्पादों की बिक्री पर अंकुश लगाना है, मंगलवार से प्रभावी हो रहा है क्योंकि अधिक खुदरा विक्रेता कम मुनाफे के लिए चोरी को जिम्मेदार मानते हैं।  नए कानून में अमेज़ॅन और ईबे जैसे ऑनलाइन मार्केटप्लेस को तीसरे पक्ष के विक्रेताओं के बारे में जानकारी सत्यापित करने और साझा करने की आवश्यकता है जो बुरे कलाकारों को चोरी या हानिकारक सामान बेचने से रोकने के प्रयास में अपने प्लेटफॉर्...

News About Bitcoin  Bitcoin’s price has risen more than 12% since the beginning of June. Investors attributed the jump to news that BlackRock had filed for a spot bitcoin ETF. The more likely thing moving bitcoin, though, is large purchases by so-called bitcoin “whales” as liquidity remains low. This, analysts say, is causing big moves in the price of the world’s top digital currency. In pure ( Hindi )  इस महीने बिटकॉइन में तेजी से बढ़ोतरी हुई है - लेकिन उन कारणों से नहीं जिनके बारे में आप सोच सकते हैं।  दुनिया की सबसे बड़ी डिजिटल मुद्रा जून की शुरुआत से 12% से अधिक बढ़ी है।  कॉइन मेट्रिक्स डेटा के मुताबिक, बुधवार को इसकी कीमत 30,000 डॉलर के पार जाकर 14 अप्रैल के बाद के उच्चतम स्तर पर पहुंच गई।  बाजार के खिलाड़ियों ने इस उछाल के लिए इस खबर को जिम्मेदार ठहराया है कि अमेरिकी परिसंपत्ति प्रबंधन दिग्गज ब्लैकरॉक ने अंतर्निहित परिसंपत्ति के बाजार मूल्य पर नज़र रखने वाले स्पॉट बिटकॉइन एक्सचेंज-ट्रेडेड फंड के लिए आवेदन किया था।  हालांकि यह कारण का एक हि...

Apple's year-ahead product roadmap includes the new Apple   Watch Ultra with iPhone   15 this fall, according to a Bloomberg report. The company is also reportedly beginning work on a second-generation Vision Pro,   as well as a lower-end   model. Apple  is also expected to ship new M3-powered laptops,   and new OLED-screen iPads' will ship by next year,  per the   report. '