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Evaluate : (cot^(2)41^(@))/(tan^(2)49^...

Evaluate :
`(cot^(2)41^(@))/(tan^(2)49^(@))-2(sin^(2)75^(@))/(cos^(2)15^(@))`

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Evaluate: cos^(2)25^(@)-sin^(2)65^(@)-tan^(2)45^(@)

Evaluate : (sin^(2)30^(@)+sin^(2)45^(@)-4cot^(2)60^(@))/(2sin30^(@)cos30^(@)+(1)/(2)tan60^(@))

Evaluate : (i) cos^(2) 25^(@) - sin^(2)65^(@) - tan^(2)45^(@) (ii) ((sin 77)/(cos 13))^(2) + ((cos 77)/(sin 13))^(2) - 2 cos^(2) 45^(@)

Evaluate : 2 (tan 57^(@))/(cot 33^(@))-(cot 70^(@))/(tan 20^(@))-sqrt(2)cos 45^(@)

Evaluate : 2 (tan 57^(@))/(cot 33^(@))-(cot 70^(@))/(tan 20^(@))-sqrt(2)cos 45^(@)

Evaluate the following: (i) (cot40^@)/(tan50^@)-1/2((cos35^@)/(sin55^@)) (ii) ((sin27^@)/(cos63^@))^2-((cos63^@)/(sin27^@))^2

Evaluate : 2 sin 15 ^(@) cos 15 ^(@)

Evaluate : (cos^(2)(45^(@) + theta)+ cos^(2) (45^(@) -theta))/(tan(60^(@) + theta) xx tan(30^(@) - theta))+(cot30^(@) + sin 90^(@))xx (tan60^(@) -sec0^(@))

Evaluate : (sec 42^(@))/( cosec 48^(@)) + ( 3 tan 50 ^(@))/( cot 40 ^(@)) - ( 2 cos 43 ^(@))/( sin 47^(@))

Evaluate : sin^(2)25^(@)+sin^(2)65^(@)+sqrt(3)tan5^(@)tan15^(@)tan30^(@)tan75^(@)tan85^(@)

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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