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In each case given below, find the value...

In each case given below, find the value of angle A where `0^(@)leAle90^(@)`
(i) `sin(90^(@)-3A).cosec42^(@)=1`
(ii) `cos(90^(@)-A).sec77^(@)=1`

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The correct Answer is:
(i) `16^(@)` (ii) `13^(@)`
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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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