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Simplify(1-sinx)(1+sinx)(1+tan square x)

Answer»

metry: Trigonometry is the study of angles and relations between angles and their sin, cos, tan, cosec, sec, cot ratios. There are many formulae for calculations: • sin²A + cos²A = 1 • sec²A - tan²A = 1 • cosec²A - cot²A = 1 • sin2A = 2 sinA cosA • cos2A = cos²A - sin²A • tan2A = 2 TANA / (1 - tan²A) • sinA * cosecA = 1 • cosA * secA = 1 • tanA * COTA = 1Step-by-step explanation:Now, (1 - sinx) (1 + sinx) (1 + tan²x) = {(1 - sinx) (1 + sinx)} * sec²x [ ∵ sec²x - tan²x = 1 ] = (1 - sin²x) * sec²x [ ∵ (a + b) (a - b) = a² - b² ] = cos²x * sec²x [ ∵ sin²x + cos²x = 1 ] = (cosx * secx)² = 1² = 1∴ (1 - sinx) (1 + sinx) (1 + tan²x) = 1More links: • Prove that √{(1 - sina)/(1 + sina)} = seca - tana. - brainly.in/question/1808729 • What is a VALUE of tan36° DEGREE in trigonometry? - brainly.in/question/5927670



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