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Show that: sin 42^(@)sec 48^(@)+cos 42^...

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

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

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

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

Find x, if : sin 47 ^(@) sec 43 ^(@) + cos 43 ^(@) cosec 47 ^(@) - x cos ^(2) 45 ^(@) = 0.

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

Prove that: sin48^@sec42^@+cos48^@\ cos e c\ 42^@=2

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

Prove that sin 12^(@) sin18^(@)sin42^(@) sin48^(@) sin 72^(@) sin78^(@)=(cos18^(@))/(32) .

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

sin 12^(@) sin 48^(@) sin 54^(@) is equal to

ICSE-TRIGONOMETRICAL IDENTITIES-EXERCISE 21 (C)
  1. Show that: tan 10^(@)tan 15^(@) tan 75^(@)tan 80^(@)=1

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

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  3. Show that : (sin 26^(@))/ (sec 64^(@)) + (cos 26^(@))/ (cosec 64^(@)...

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

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

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

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  7. Prove that : (sin A )/(sin (90^(@) -A)) + (cos A )/( cos (90^(@) - A )...

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  8. Show that : sin A cos A - (sin A cos(90^(@) - A) cos A)/ (sec (90^(@...

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

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

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

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

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

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

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

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

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

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

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

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

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