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

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

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

Prove that: tan10^(@) tan20^(@)tan70^(@)tan80^(@)=1

tan 75 ^(@) - tan 30^(@)- tan 75^(@) tan 30^(@) =1.

Show that tan48^(@) tan 23^(@) tan 42^(@) tan 67^(@) =1 .

tan 20^(@) tan 40^(@) tan 80^(@) = tan 60^(@)

tan 6 ^(@) tan 42 ^(@) tan 66 ^(@) tan 78^(@) =1

Prove that: (a) tan 20^(@)tan40^(@)tan60^(@)tan 80^(@)=3 (b) tan9^(@)-tan27^(@)-tan63^(@)+tan81^(@)=4

Prove that: tan10^(@)tan50^(@)+tan50^(@)tan70^(@)+tan70^(@)tan170^(@)=3

Shown that : tan48^(@)tan23^(@)tan42^(@)tan67^(@)=1

Without using trigonometric tables , prove that : (i) tan20^(@)tan40^(@) tan45^(@)tan50^(@)tan70^(@)=1 (ii) tan1^(@) tan2^(@)tan60^(@)tan88^(@)tan89^(@)=sqrt(3) (iii) cot5^(@)cot10^(@)cot30^(@)cot80^(@)cot85^(@)=sqrt(3) (iv) 4sin10^(@)sin20^(@)sin30^(@)sec70^(@)sec80^(@)=2

ICSE-COMPLEMENTARY ANGLES-EXERCISE
  1. Evaluate: cos^(2)25^(@)-sin^(2)65^(@)-tan^(2)45^(@)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. A triangle ABC is right angled at B, find the value of (secA.sinC-tanA...

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  20. In each case given below, find the value of angle A where 0^(@)leAle90...

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