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In each case, given below, find the valu...

In each case, given below, find the value of angle A, where
`0^(@) le A le 90^(@)`
`sin (90^(@) - 3A) . cosec 42^(@) = 1`

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ICSE-TRIGONOMETRICAL IDENTITIES-EXERCISE 21 (C)
  1. Evaluate : cosec(65^(@)+A)-sec(25^(@)-A)

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  2. Evaluate : 2 (tan 57^(@))/(cot 33^(@))-(cot 70^(@))/(tan 20^(@))-sqr...

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  3. Evaluate : (cot^(2)41^(@))/(tan^(2)49^(@))-2(sin^(2)75^(@))/(cos^(2)...

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  4. Evaluate : (cos 70^(@))/(sin 20^(@))+(cos 59^(@))/(sin31^(@))-8sin^(...

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  5. Evaluate : 14 sin 30^(@)+6cos 60^(@)-5tan 45^(@)

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  6. A triangle ABC is right angled at B, find the value of (sec A . cose...

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  7. Find (in each case, given below) the value of x, if : sin x = sin 60...

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  8. Find (in each case, given below) the value of x, if : sin x = sin 60...

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  9. Find (in each case, given below) the value of x, if : cos x = cos 60...

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  10. Find (in each case, given below) the value of x, if : tan x = (tan 6...

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  11. Find (in each case, given below) the value of x, if : sin 2 x = 2 si...

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  12. Find (in each case, given below) the value of x, if : sin 3 x = 2 si...

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  13. Find the value of x in the following : cos2x=cos60cos30 + sin60sin3...

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  14. In each case, given below, find the value of angle A, where 0^(@) le...

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  15. In each case, given below, find the value of angle A, where cos (9...

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  16. Prove that : (cos (90^(@) - 0) cos 0) /(cot 0) = 1 - cos^(2) 0

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  17. Prove that : (sin \theta . sin(90^(@) - \theta))/(cot (90^(@) - \t...

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  18. Evaluate : (sin 35^(@) cos 55^(@) + cos 35^(@) sin 55^(@))/ (cosec^(...

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  19. Without using trigonometric tables, evaluate. "sin"^(2)34^(@)+"sin"^...

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  20. Without using trigonometrical tables, evaluate. "cosec"^(2)57^(@)"ta...

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