principal value of sin 1 root 3 2 The value of the expression cos 1 x 2 is equal to sec 2 x The least numerical value either positive or negative of angle is called principal value of the inverse trigonometric function
Explanation It helps if one recognises the lengths 3 and 2 as being two of the sides in one of the special triangle namely 30 60 90 Sketch this by drawing an equilateral triangle of sides 2 units and drawing in a line of Let theta sin 1 sqrt 3 2 By rewriting it in terms of sine Rightarrow sin theta sqrt 3 2 So we need to find the angle theta between pi 2 and pi 2 that makes sine
principal value of sin 1 root 3 2
principal value of sin 1 root 3 2
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The Principal Value Of Sin 1 sin 10 Pi 3 Is A Pi 3 B Pi 3
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Using Principal Value Find The Value Of Sin 1 sin 3pi 5 Maths
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Q1 If the domain of the function sin 1 3 x 22 2 x 19 log e 3 x 2 8 x 5 x 2 3 x 10 is then 3 10 is equal to Q2 Given the inverse trigonometric function Find the principal value of sin 1 left dfrac sqrt 3 2 right Ans Hint First of all use sin 1 left x right sin 1 x Now consider the range of the
Sin 1 sqrt 3 2 Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history PRINCIPAL VALUE OF TRIGONOMETRIC FUNCTIONS Principal Solution The solution in which the absolute value of the angle is the least is called principal solution For example the value of cos o is 1 the value of cos 2
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The principal value of sin 1 x for x 0 is the length of the arc of a unit circle centred at the origin which subtends an angle at the centre whose sine is x For this reason sin 1 x is also denoted by arc sin x Similarly cos 1 x tan 1 x The principal value of sin 1 3 2 is 3 2 3 4 3 5 3
Solution sin 1 23 sin 1 sin 3 3 The principal value of sin 1 3 2 is A 3 B 6 C 2 3 D 2 3 Check Answer and Solution for above question from Explanation Starting from cos2 sin2 1 Subtract sin2 from both sides to get cos2 1 sin2 Take the square root to find cos 1 sin2 If sin 1 3 2 then
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principal value of sin 1 root 3 2 - PRINCIPAL VALUE OF TRIGONOMETRIC FUNCTIONS Principal Solution The solution in which the absolute value of the angle is the least is called principal solution For example the value of cos o is 1 the value of cos 2