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Find the degree measure of the angle su...

Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm (use `pi=(22)/7`).

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To find the degree measure of the angle subtended at the center of a circle by an arc of length 22 cm, we can follow these steps: ### Step 1: Understand the relationship between arc length, radius, and angle The angle \( \theta \) (in radians) subtended by an arc at the center of a circle is given by the formula: \[ \theta = \frac{s}{R} \] where \( s \) is the arc length and \( R \) is the radius of the circle. ...
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NCERT ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the values of the trigonometric function cot(-(15pi)/4)

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  2. In a circle of diameter 40 cm. The length of a chord is 20 cm. Find t...

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  3. Find the degree measure of the angle subtended at the centre of a cir...

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  4. Find the angle in radian through which a pendulum swings if its lengt...

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  5. If in two circles, arcs of the same length subtend angles 60^@and 75^...

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  6. Find the radian measures corresponding to the following degree measur...

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  7. A wheel makes 360 revolutions in one minute. Through how many radians...

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  8. Find the degree measures corresponding to the following radian measur...

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  9. Prove that: sin 3x + sin 2x - sin x = 4 sin x cosx/2cos(3x)/2

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  10. Prove that: ((sin7x+sin5x)+(sin9x+sin3x))/((cos7x+cos5x)+(cos9x+cos3x)...

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  11. Prove that sinx + sin3x + sin5x+ sin7x=4cosxcos2xsin4x

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  12. Prove that: (cosx-cosy)^2+(sinx-siny)^2=4sin^2(x-y)/2

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  13. Prove that: (cosx+cosy)^2+(sinx-siny)^2=4cos^2(x+y)/2

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  14. Prove that: (sin 3 x +sin x) sin x + (cos 3x - cos x) cos x = 0

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  15. Prove that: 2cospi/(13)cos(9pi)/(13)+cos(3pi)/(13)+cos(5pi)/(13)=0

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  16. Prove that:(cos4x+cos3x+cos2x)/(sin4x+sin3x+sin2x)=cot3x

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  17. Prove that:(sinx-sin3x)/(sin^2x-cos^2x)=2sinx

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  18. Prove that:tan4x=(4tanx(1-tan^2x))/(1-6tan^2x+tan^4x)

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  19. Prove that: cot x cot 2x - cot 2x cot 3x - cot 3x cot x = 1

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  20. Prove that:cos6x=32cos^6x-48cos^4x+18cos^2x-1

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