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Without using trigonometrical tables, ev...

Without using trigonometrical tables, evaluate.
`"cosec"^(2)57^(@)_"tan"^(2)33^(@)+"cos"44^(@)"cosec"46^(@)-sqrt(2)" cos"45^(@)-"tan"^(2)60^(@)`

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Without using trigonometric tables, evaluate. "sin"^(2)34^(@)+"sin"^(2)56^(@)+2" tan"18^(@)"tan"72^(@)-"cot"^(2)30^(@)

Find the value of : cosec^(2)60^(@)-tan^(2)30^(@)

Find the value of : cosec^(2)60^(@)-tan^(2)30^(@)

Without using trigonometric tables evaluate. ("sin"65^(@))/("cos"25^(@))+("cos"32^(@))/("sin"58^(@))-"sin"28^(@)."sec"62^(@)+"cosec"^(2)30^(@)

Without using trigonometric tables , evaluate : (i) (sin40^(@))/(cos50^(@))+(3tan50^(@))/(cot40^(@)) (ii) (sec37^(@))/("cosec "53^(@))-(tan20^(@))/(cot70^(@)) (iii) (cos74^(@))/(sin16^(@))+(sin12^(@))/(cos78^(@))-sin18^(@)sec72^(@) (iv) sin35^(@)sec55^(@)+(4sec32^(@))/("cosec "58^(@))

Without using trigonometric tables , evaluate : ((tan20^(@))/(cosec70^(@)))^(2)+((cot20^(@))/(sec70^(@)))^2+2tan 15^(@)tan37^(@)tan53^(@)tan60^(@)tan75^(@)

Evaluate without using trigonometric tables : "cos"^(2) 26^(@)+"cos" 64^(@)"sin" 26^(@)+("tan" 36^(@))/("cot" 54^(@))

Without using trigonometric tables , evaluate : (i) (sin11^(@))/(cos79^(@)) (ii) (sec15^(@))/("cosec"75^(@)) (iii) (tan54^(@))/(cot36^(@)) (iv) (cos68^(@))/(sin22^(@)) (v) ("cosec"24^(@))/(sec66^(@)) (vi) (cot18^(@))/(tan72^(@))

Find the value of ("cosec"^(2)A-1)*tan^(2)A .

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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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