The principal value branch of sec – 1 x is
WebbQUESTION PAPER CODE 65/2/1 EXPECTED ANSWER/VALUE POINTS SECTION – A Question Numbers 1 to 20 carry 1 mark each. Question Numbers 1 to 10 are multiple choice type questions. Select the correct option. ... The range of the principal value branch of the function y = sec–1 x WebbThe principal value branch of `sec^(-1)` isWelcome to Doubtnut. Doubtnut is World’s Biggest Platform for Video Solutions of Physics, Chemistry, Math and Biol...
The principal value branch of sec – 1 x is
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WebbBut the 0 is known as principal value. Example 1 : Find the principal value of the following. cos x = √3/2. Solution : cos x = √3/2 > 0. Principal value of x must be in [0, π]. Since cos x is positive the principal value is in the first quadrant. We have to think about the angle of cos for which we get the value √3/2. WebbThe principal value branch of sec -1 x is [ 0, π] - { π 2 } Concept: Trigonometric Equations and Their Solutions. Report Error. Is there an error in this question or solution?
WebbWhat is the principal value branch of sec –1 x ? 29 \left[0\ ,\ \pi\right]-\left\{\frac{\pi}{2}\right\} (–1, 1) [0, \pi] [–1, 1] Solo games Try one here Simple quiz Preview as a student. Edit a copy to suit your class. Our brand new solo games combine with your quiz, on the same screen. WebbThus the principal value of csc-1 (-1) is -π/2. Problem 10 : Find the principal value of sec-1 (-2). Solution : Let y = sec-1 (-2). Then, sec y = -2. The range of principal value branch of y = sec-1 x is [0, π] \ {π/2} Let us find y in [0, π] - {π/2} such that sec y = -2. But, sec y = -2 -----> cos y = -1/2. Now,
Webbvalue branch of the function cos–1. We write cos–1: [–1, 1] → [0, π]. The graph of the function given by y = cos –1 x can be drawn in the same way as discussed about the graph of y = sin–1 x. The graphs of y = cos x and y = cos–1x are given in Fig 2.2 (i) and (ii). Fig 2.2 (ii) Let us now discuss cosec–1x and sec–1x as ... WebbLearn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the …
WebbCalculate Arcsine, Arccosine, Arctangent, Arccotangent, Arcsecant and Arccosecant for values of x and get answers in degrees, ratians and pi. ... This calculator will find the inverse trigonometric values for principal values in …
WebbIn mathematics and mathematical logic, Boolean algebra is a branch of algebra.It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers.Second, Boolean algebra uses logical operators such as … ray goodwin coachingWebb25 feb. 2024 · Range of principal value for sec -1 is [0, π] – {π/2} and sec (2π/3) = – 2 Therefore, principal value of sec -1 (-2) = 2π/3. Now, tan –1 (√3) – sec -1 (-2) = π/3 – 2π/3 = -π/3 Hence, option (B) is correct. simpletimer library for arduinoWebb20 juli 2024 · Chapter 2 Inverse Trigonometric Functions Exercise 2.1. Implies the range of the principal value branch of tan-1 is (-Π/2,Π/2) Implies the range of the principal value branch of tan-1 is (-Π/2,Π/2) Implies the range of the principal value branch of cot-1 is (0,Π) 1. 2. Let tan. Then tan x. It is given that sin−1x = y. simple timer pythonWebbSec Inverse x is the inverse trigonometric function of the secant function.Mathematically, it is denoted by sec-1 x. It can also be written as arcsec x. In a right-angled triangle, the secant function is given by the ratio of the hypotenuse and the base, that is, sec θ = Hypotenuse/Base = x (say).Using this, sec inverse x formula is given by θ = sec-1 x = sec … raygor homesWebbFind the principal value of (i) cosec-1 (-1) (ii) sec-1 (-2) . Solution (i) Let cosec-1 (-1) = y . Then, cosec y = -1. Since the range of principal value branch of y= cosec-1 x is [- π/2 , … raygor constructionWebb4 okt. 2024 · Balbharti 12th Maharashtra State Board Maths Solutions Book Pdf Chapter 3 Trigonometric Functions Miscellaneous Exercise 3 Questions and Answers.. Maharashtra State Board 12th Maths Solutions Chapter 3 Trigonometric Functions Miscellaneous Exercise 3. I) Select the correct option from the given alternatives. simple timer relayWebb15 sep. 2024 · Answer: True. It is well known that all trigonometric functions have inverse over their respective domains. Question:50. State True or False for the statement. The value of the expression (cos –1 x) 2 is equal to sec 2 x. Answer: As, cos-1 x is not equal to sec x. So, (cos–1x)2 is not equal to sec2 x. ray google chrome