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If 4sin^(2)theta-1=0 and angle theta is ...

If `4sin^(2)theta-1=0` and angle `theta` is less than `90^(@)`, find the value of `theta` and hence the value of `cos^(2)theta+tan^(2)theta`.

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The correct Answer is:
`theta=30^(@); 13/12`
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ICSE-TRIGONOMETRICAL RATIOS OF STANDARD ANGLES-EXERCISE 23(C)
  1. If 4cos^(2)x(@)-1=0 and 0 le x^(@) le 90^(@), find : sin^(2)x^(@)+co...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Use the given figure to find : theta^(@)

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  18. Use the given figure to find : sin^(2)theta^(@)-cos^(2)theta^(@)

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  19. Use the given figure to find : Use sintheta^(@) to find the value...

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  20. Find the magnitude of angle A, if : 2sinAcosA-cosA-2sinA+1=0

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