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If 2sinx^(@)-1=0 and x^(@) is an acute a...

If `2sinx^(@)-1=0 and x^(@)` is an acute angle, find:
(i) b`sinx^(@)" (ii) "x^(@)" (iii) "cosx^(@) and tanx^(@)`.

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The correct Answer is:
(i) `1/2" (ii) "30^(@)" (iii) "sqrt(3)/2 " and "1/sqrt(3)`
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ICSE-TRIGONOMETRICAL RATIOS OF STANDARD ANGLES-EXERCISE 23(C)
  1. Calculate the value of A, if : cos3A.(2sin2A-1)=0

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  2. Calculate the value of A, if : (cosec2A-2)(cot3A-1)=0

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  3. If 2sinx^(@)-1=0 and x^(@) is an acute angle, find: (i) bsinx^(@)" ...

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  4. If 4cos^(2)x^(@)-1=0 and 0 le x^(@) le 90^(@), find : x^(@)

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  5. If 4cos^(2)x(@)-1=0 and 0 le x^(@) le 90^(@), find : sin^(2)x^(@)+co...

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  6. If 4cos^(2)x(@)-1=0 and 0 le x^(@) le 90^(@), find : 1/(cos^(2)x^(@)...

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  7. If 4sin^(2)theta-1=0 and angle theta is less than 90^(@), find the val...

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  8. If sin3A=1 and 0 le A le 90^(@), find : sin A

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  9. If sin3A=1 and 0 le A le 90^(@), find : cos 2A

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  10. If sin3A=1 and 0 le A le 90^(@), find : tan^(2)A-1/(cos^(2)A)

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  11. If 2cos2A=sqrt(3) and A is acute, find : A

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  12. If 2cos2A=sqrt(3) and A is acute, find : sin 3A

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  13. If 2cos2A=sqrt(3) and A is acute, find : sin^(2)(75^(@)-A)+cos^(2)(4...

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  14. If sinx+cosy=1" and "x=30^(@), find the value of y.

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  15. If 3tanA-5cosB=sqrt(3) and B=90^(@), find the value of A.

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  16. From the given figure, find : cosx^(@)

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  17. From the given figure, find : x^(@)

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  18. From the given figure, find : 1/(tan^(2)x^(@))-1/(sin^(2)x^(@))

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  19. From the given figure, find : Use tanx^(@), to find the value of ...

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  20. Use the given figure to find : tantheta^(@)

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