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Prove that (i) sin (90^(2)-A)cos (90^(@)...

Prove that (i) `sin (90^(2)-A)cos (90^(@)-A)=(tanA)/(1+tan^(2)A)`
(ii) `(cos(90^(@)-A).cosA)/(cotA)-sin^(2)A=0`

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ICSE-COMPLEMENTARY ANGLES-EXERCISE
  1. Prove that (i) sin (90^(2)-A)cos (90^(@)-A)=(tanA)/(1+tan^(2)A) (ii)...

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  2. Evaluate: (cos22^(@))/(sin68^(@))

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  3. Evaluate: (tan 47^(@))/(cot 43^(@))

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  4. Evaluate: (sec 75^(@))/(cosec 15^(@))

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  5. Evaluate: (cos 55^(@))/(sin 35^(@))+(cot 35^(@))/(tan 55^(@))

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  6. Evaluate: sin^(2)40^(@)-cos^(2)50^(@)

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  7. Evaluate: sec^(2)18^(@)-cosec^(2)72^(@)

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  8. Evaluate: sin 15^(@)cos 15^(@)-cos 75^(@)sin75^(@)

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  9. Evaluate: sin 42^(@)sin 48^(@)-cos 42^(@)cos 48^(@)

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  10. Evaluate: sin(90^(@)-A)sinA-cos(90^(@)-A)cosA

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  11. Evaluate: sin^(2)35^(@)-cos^(2)55^(@)

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  12. Evaluate: (cot 54^(@))/(tan 36^(@))+(tan 20^(@))/(cot 70^(@))-2

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  13. Evaluate: (2 tan 54^(@))/(cot 36^(@))-(cot80^(@))/(tan 10^(@))

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

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  15. Evaluate: ((sin 77^(@))/(cos 13^(@)))^(2)+((cos 77^(@))/(sin 13^(@))...

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  16. Show that: tan 10^(@)tan 15^(@) tan 75^(@)tan 80^(@)=1

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  17. Show that: sin 42^(@)sec 48^(@)+cos 42^(@)cosec 48^(@)=2

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  18. Express the following in terms of angles between 0^(@) and 45^(@) si...

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  19. Express the following in terms of angles between 0^(@) and 45^(@) co...

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  20. Express the following in terms of angles between 0^(@) and 45^(@) co...

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  21. For triangle ABC, show that "sin"(A+B)/2="cos"C/2

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