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ABCD is a cyclic quadrilateral and tan (...

ABCD is a cyclic quadrilateral and `tan (A/2) tan (C/2) + tan (B/2) tan (D/2)` equals_____

A

1

B

2

C

3

D

4

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UNITED BOOK HOUSE-Trigonometric Ratios of Complementry Angle-Exercise
  1. Sin 2A = 2sin A is true when A =

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  2. It A + B = 90^@, then (tan A tan B + tan A cot B)/(sin A sec B) - (sin...

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  3. If tan A = cot B, then prove that A + B = 90°.

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  4. (sin^2 22^@ + sin^2 68^@ + cot^2 68^@) equals

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  5. (2 tan 30^@)/(1 - tan^2 30^@) is equal to

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  6. If theta and (2theta - 45^@) are acute angles such that cosec theta co...

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  7. A, B and C are interior angles of a triangle ABC, then sin ((B + C)/(2...

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  8. The value of tan 10^@ tan 15^@ 75^@ tan 80^@ is

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  9. If 5theta and 4theta are acute angles satisfying sin 5theta = cos 4the...

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  10. [sin^2 1^@ + sin^2 2^@ +sin^2 3^@ + ……………….. + sin^2 87^@ + sin^2 88^@...

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  11. (sin^2 1^@ + sin^2 3^@ + sin^2 5^@ + ………………… + sin^2 85^@ + sin^2 87^@...

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  12. The value of (cos(90^@ - theta)sec(90^@ - theta) tan theta)/(cosec(90^...

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  13. The value of (tan 47^@ + cot 27^@)/(tan 43^@ + cot 63^@) is

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  14. (1 + sec 20^@ + cot 70^@) (1 - cosec 20^@ + tan 70^@) equals

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  15. alpha, beta are positive acute angle and sec^2 alpha - cot^2 (beta/2) ...

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  16. ABCD is a cyclic quadrilateral and tan (A/2) tan (C/2) + tan (B/2) tan...

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  17. If cos (67^@30') = x and cosec (22^@30') = y then which is true?

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  18. If cosec 39^@ = x, the value of (1)/(cosec^2 51^@) + sin^2 39^@ + tan^...

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  19. sin^2 5^@+sin^2 10^@ + sin^2 15^@+.........+sin^2 85^@+sin^2 90^@ equa...

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  20. If A, B and C are three angles of a triangle, then the incorrect relat...

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