amplitude ii) period iii) phase shift. . b) Sketch the graph of the function over one period. [6] 2 Find the exact value of the expressions below. Rationalize the denominator where appropriate: a) cot 70 tan 650 csc( 250 ) sec( 110 ) 5 19 tan cos 6 6 4 23 cot sin 3 6 [5] b) [5] 3 a) From the graph of a sine or cosine curve below‚find the equation of the graph in the form of: (i) (ii) where where
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the earl hunters are cruel and the anaconda is not. Obviously‚ the hunters destroyed what they had no use for and the snake left alone what he didn’t need. Twain also goes on to tell that men who have money are never satisfied and always want more. Neal Boortz‚ an author and nationally syndicated libertarian talk-show host‚ explains in his opinion how these people get there
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However‚ what makes us different is that it is rare to find two people that speak the exact same English. This is the argument Amy Tan makes in her story “Mother Tongue.” She shares her personal story of the English she speaks‚ and how much the people you are around can change the way you converse. Born in the United States to immigrant parents from China‚ Amy Tan failed her mother’s expectations that she become a doctor and concert pianist. She settled for writing fiction. Her novels are The
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int eger sin x s ec x = tan x = sin x π ‚ x ≠ (2n + 1) ‚ where n is any int eger cos x 2 cot x = 7. 1 π ‚ x ≠ (2n + 1) ‚ where n is any int eger cos x 2 1 ‚ x ≠ nπ‚ where n is any int eger tan x Fundamental Trigonometric Identities sin2x + cos2x = 1 1 + tan2x = sec2 x 1 + cot2x = cosec2x Get the Power of Visual Impact on your side Log on to www.topperlearning.com 2 8 Values of Trigonometric ratios: 0° sin cos 1 tan 9. 0 0 π 4 1
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each of the following identities. 1. tan x sin x + cos x = sec x 2. 1 1 + tan x = tan x sin x cos x sin x cos2 x = sin3 x + 1 + sin cos = 2 cos 8. 1 2 cos2 x = tan2 x 1 tan2 x + 1 cos x 1 sin x 2 cos2 x 9. sec x + tan x = 10. sin4 x 11. (sin x 3. sin x 4. cos 1 + sin cos4 x = 1 cos x)2 + (sin x + cos x)2 = 2 cos x 5. 1 sin x sin4 x 6. sin2 x 7. 1 cos x = 2 tan x 1 + sin x sin2 x + 4 sin x + 3 3 + sin x 12. = 2x cos 1 sin x 13. cos x 1 sin x tan x = sec x 1 + sin x cos2 x cos4
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in them. Amy Tan’s novels offer an inside glimpse into several intricate mother daughter relationships. Her characters suffer hardships as well as times of joy. There are many similarities in the mother and daughter relationships in the books by Amy Tan. One of the most difficult parts of maintaining a good relationship between mother and daughter is balancing the individual characteristics of each person. Even though daughters are truly a part of their mothers‚ this definitely does not mean that
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go somewhere else. Amy Tan‚ a Chinese American‚ struggled with her true identity which influence her works which mainly focus on identity‚ the Chinese American dream‚ and family struggles. Amy Tan had a childhood full of ups and downs‚ and they are all part of her stories and poems. She overcame many obstacles in her life and learned many lessons that are all reflected in her works. Many of Tan’s works are about personal experiences she had and about her family. Although Tan admits that she never
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Cheryl-Ann (eds) Early Singapore 1300s to 1819: Evidence in Maps‚ Texts and Artefacts p125-139‚ De Coutre’s Proposal for a fort on Singapore and Sentosa‚ c.1625 (A/Prof Peter Borschberg’s website at www.borschberg.sg)‚ and Kwa Chong Guan‚ Derek Heng and Tan Tai Yong (2009) Singapore: A 700-Year History‚ From Early Emporium to World City by‚ p19-82‚ The Free Dictionary by Farlex‚ 2009‚ www.thefreedictionary.com 1 definition of strategic obtained from www.thefreedictionary.com 2 C. A. Gibson attempted
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free medical treatment. Nurses Vivian Seay and Cleopatra White worked closely this team to offer the medical care. He was a member of the Unemployed Brigade and then leader of the Labor and Unemployed Association (LUA) along with his friends; John Neal‚
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the terminal point determined by √ t = √ is P (1/2‚ 3/2). Since the coordinates are x = 1/2 and π/3 y = 3/2‚ we have √ √ π 3 3/2 √ π 1 π sin = cos = tan = = 3 3 2 3 2 3 1/2 √ √ π 3 2 3 π π 1/2 csc = = sec = 2 cot = √ 3 3 3 3 3 3/2 (b) The terminal point determined by π/2 is P (0‚ 1). So π π 1 π 0 π cos = 0 csc = = 1 cot = = 0 sin = 1 2 2 2 1 2 1 But tan π/2 and sec π/2 are undefined because x = 0 appears in the denominator in each of their definitions. π . 4 Solution: √ From the Table above‚ we see that
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