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Evaluate : 3(sin 72^(@))/(cos 18^(@))-...

Evaluate :
`3(sin 72^(@))/(cos 18^(@))-(sec 32^(@))/(cosec 58^(@))`

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Evaluate : (cos 75^(@))/ (sin 15^(@)) + (sin 12^(@))/ (cos 78^(@)) - (cos 18^(@))/ (sin 72^(@))

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^(@))

Evaluate (sin35^(@))/(cos55^(@))+(sec20^(@))/("cosec"70^(@)) .

Evaluate : (cos 58 ^(@))/(sin 32^(@)) +(sin 22^(@))/(cos 68^(@)) - cos 90 ^(@)

Evaluate: ((cos 47^(@))/(sin 43^(@)))^(2)+((sin72^(2))/(cos 18^(@)))^(2)-2cos^(2)45^(@)

Show that : (sin 26^(@))/ (sec 64^(@)) + (cos 26^(@))/ (cosec 64^(@)) = 1

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^(@))

Evaluate the following : (i) (sin58^(@))/(cos32^(@)) (ii) (sec42^(@))/("cosec"48^(@)) (iii) (tan37^(@))/(cot53^(@))

ICSE-TRIGONOMETRICAL IDENTITIES-EXERCISE 21 (C)
  1. For triangle ABC, show that : (i) "sin" (A + B)/(2) = "cos" (C)/(2) ...

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  2. For triangle ABC, show that "tan"(B+C)/2="cot"A/2

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  3. Evaluate : 3(sin 72^(@))/(cos 18^(@))-(sec 32^(@))/(cosec 58^(@))

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  4. Evaluate : 3 cos 80^(@)cosec 10^(@)+2sin 59^(@)sec 31^(@)

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  5. Evaluate : (sin 80^(@))/(cos 10^(@))+sin 59^(@)sec 31^(@)

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  6. Evaluate : tan (55^(@)-A)-cot (35^(@)+A)

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  7. Evaluate : cosec(65^(@)+A)-sec(25^(@)-A)

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

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

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

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

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

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

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

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

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

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

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

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

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

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