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If pi  le x le (3pi)/(2)then sin pi le s...

If `pi  le x le (3pi)/(2)`then `sin pi le sinx le sin(3pi)/(2)`

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Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"for",-(pi)/(2) lt x lt (pi)/(2)),(cos x,"for",(pi)/(2) le x le pi):} . If f is continuous on [-pi, pi) , then find the values of a and b.

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CBSE COMPLEMENTARY MATERIAL-TRIGONOMETRIC FUNCTIONS -VERY SHORT ANSWER TYPE QUESTIONS
  1. Write the radian measure of 5^(@) 37' 30"

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  2. Find the degree measures corresponding to the radian measures:(11/16)^...

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  3. Write the value of tan((19pi)/(3))

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  4. What is the value of sin (-1125^(@))

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  5. Write the general solution of sin(x+(pi)/(12))=0

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  6. Write the value of 2sin75^(@) sin15^(@)

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  7. What is the maximum value of 3 – 7 cos5x

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  8. Express each of the following as the product of sines and cosines: s i...

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  9. Express 2cos4xsin2x as an algebraic sum of sines and cosines

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  10. Write the maximum value of cos (cosx) and also write its minimum value

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  11. If the following match each item given under column C1 to its corr...

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  12. Match each item given under column C1 to its correct answer given unde...

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  13. If 0 le x le pi then cos0le cosx le cospi

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  14. If 0 le x le (pi)/(2)then sino le sinx le sin(pi)/(2)

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  15. If pi  le x le (3pi)/(2)then sin pi le sinx le sin(3pi)/(2)

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  16. If (-pi)/(2) le x le (3pi)/(2) then tanx is an increasing function. Ch...

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  17. State true or false: The period of sinx function is 2pi

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  18. State true or false: The period of cosx function is 2pi

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  19. State True or False: The period of tanx function is 2pi

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  20. The range of f (x) = secx is R-[-1, 1]

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