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The value of sin^(2) 1^(@) + sin^(2) 2^...

The value of ` sin^(2) 1^(@) + sin^(2) 2^(@) + sin^(2) 3^(@)+ . . . . + sin^(2) 89^(@) + sin ^(2) 90^(@)` is

A

1

B

0

C

`45 . 5 `

D

44

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The correct Answer is:
C
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sin ^ (2) 5 ^ (@) + sin ^ (2) 10 ^ (@) + sin ^ (2) 15 ^ (@) + ...... + sin ^ (2) 85 ^ (@) + sin ^ (2) 90 ^ (@) =

The value of (1)/(2) sin ^(2) 90^(@) sin^(2) 30^(@) cos ^(2) 45^(@) + 4 tan ^(2) 30^(@) + (1)/(2) sin^(2) 90^(@) - 2 cos ^(2) 90^(@) is :

sin^(2)5^(@)+sin^(2)10^(@)+sin^(2)15^(@)+ .....+sin^(2)85^(@)+sin^(2)90^(@) is equal to

S CHAND IIT JEE FOUNDATION-SOME APPLICATIONS OF TRIGONOMETRY-Unit Test - 6
  1. If tan x = (3)/( 4) , 0 lt x lt 90^(@) , then what is value of sin x ...

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  2. What is the expression (tan x )/( 1 + sec x) - (tan x)/( 1 - sec x) e...

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  3. If tan theta = 1 and sin phi = (1)/(sqrt(2)), and theta, phi in[0,pi/...

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  4. If cos theta = (3)/(5) , then the value of (sin theta - tan theta + ...

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  5. Given x cos theta + y sin theta = 2 and x cos theta - y sin theta ...

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  6. Which of the following is /are the value (s) of the the expression ? ...

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  7. If sin A = (2 m n)/( m^(2) + n^(2)) , What is the value of tan A ?

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  8. If sec^(2) theta + tan^(2) theta = (5)/(3) and 0 le theta le (pi)/(2)...

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  9. Evaluate : (5 sin ^(2) 30^(@) + cos ^(2) 45^(@) + 4 tan ^(2) 60^(@))/(...

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  10. Evaluate : ( 5 cos ^(2) 60^(@) + 4 sec^(2) 30^(@) - tan^(2) 45^(@))/( ...

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  11. The value of sin^(2) 1^(@) + sin^(2) 2^(@) + sin^(2) 3^(@)+ . . . . +...

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  12. If tan 2 A = cot ( A - 60^(@)) , where 2 A is an acute angle then th...

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  13. Evaluate : ( 2 cos 53^(@) cosec 37^(@))/(( cos^(2) 29^(@) + cos^(2) 61...

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  14. Evaluate : sin theta cos theta - (sin theta cos (90^(@) - theta) co...

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  15. Using trigonometric identities 5 cosec ^(2) theta - 5 cot ^(2) theta ...

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  16. The angle of elevation of the top of a tower at a horizontal distanc...

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  17. a person aims at a bird on top of a 5 metre high pole with an elevati...

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  18. Horizontal distance between two pillars of different heights is 60 m...

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  19. The angles of elevation of the top of a tower h metre tall from two di...

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  20. A radio transmitter antenna of height 100 m stands at the top of a ta...

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