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1. The relation f is defined by f(x) = {■(x^2,0≤x≤3@3x,3≤x≤10)┤The relation g is defined by f(x)

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4. 〖2sin〗^2 3π/4+〖2cos〗^2 π/4+2〖sec〗^2 π/3=10

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9. cos(3π/2+x) cos⁡(2π+x) [cot⁡(3π/2-x)+cot⁡(2π+x) ]=1

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5. cos4x=cos2x

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3. Find the principal and general solutions of the equation cotx=-√3

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9. Find sinx/2 ,cosx/2 , tanx/2 for cosx= - 1/3 ,x in quadrant III ,

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8. tanx= - 4/3 ,x in quadrant II, Find sinx/2 ,cosx/2 , tanx/2

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10. Find sinx/2 ,cosx/2 , tanx/2 for sinx= 1/4 ,x in quadrant II

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4. (cosx – cosy)2 + (sinx – siny)2 = 4sin2(x+y)/2

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6. ((sin7x+sin5x)+(sin9x+sin3x))/((cos7x+cos5x)+(cos9x+cos3x))=tan6x

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1. 2cos π/13 cos 9π/13+cos 3π/13+cos 5π/13=0

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7. sin3x+sin2x-sinx=4sinx cos x/2 cos 3x/2

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5. Sinx + sin3x + sin5x + sin7x = 4cosx cos2x sin4x

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1. 〖sin〗^2 π/6+〖cos〗^2 π/3-〖tan〗^2 π/4=-1/2

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2. 〖2sin〗^2 π/6+〖cosec〗^2 7π/6 〖cos〗^2 π/3=3/2

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6. Find the value of the trigonometric function sin 765°

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1. Find the values of other five trigonometric functions if cosx=(-1)/2, x lies in third quadrant.

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2. Find the values of other five trigonometric functions if sinx=3/5, x lies in second quadrant.

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3. A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

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6.If in two circles, arcs of the same length subtend angles 60° and 75° at the centre,

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4. Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm

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7.Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip

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5.In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the

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9. x = a sec θ, y = b tan θ