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

Evaluate:
`sin 42^(@)sin 48^(@)-cos 42^(@)cos 48^(@)`

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Evaluate : (i) (cos 55^(@))/(sin 35^(@)) + (cot 35^(@))/(tan 55^(@)) (ii) sin 42^(@) sin 48^(@) - cos 42^(@) cos 48^(@)

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

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Evaluate: i) sin48^(@)cos42^(@)+cos48^(@)sin42^(@) ii) cos72^(@)cos12^(@)+sin72^(@)sin12^(@) ii) cos72^(@)cos12^(@)+sin72^(@)sin12^(@) iii) (tan100^(@)+tan35^(@))/(1-tan100^(@)tan35^(@)) iv) sinAcos(A-B)-cosAsin(A-B)

Show that : (i) tan 10^(@) tan 15^(@) tan 75^(@) tan 80^(@) = 1 (ii) sin 42^(@) sec 48^(@) + cos 42^(@) "cosec 48"^(@) = 2

4 cos 12 ^(@) cos 48^(@) cos 72^(@) = cos 36 ^(@)

Evaluate cos 48^(@) cos 42^(@) - sin48^(@) sin 42^(@)

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

Prove that : (i) sin42^(@)cos48^(@)+sin48^(@)cos42^(@)=1 (ii) cos70^(@)cos20^(@)-sin70^(@)sin20^(@)=0

sin 12 ^(@) sin 48^(@) sin 54 ^(@) = (1)/(8).

ICSE-COMPLEMENTARY ANGLES-EXERCISE
  1. Evaluate: sec^(2)18^(@)-cosec^(2)72^(@)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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