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prove that: sin^2 3 0^(@)+sin^2 4 5^(@)+...

prove that: `sin^2 3 0^(@)+sin^2 4 5^(@)+sin^2 6 0^(@)=3/2`

A

`2//3`

B

`3//2`

C

13

D

`3//4`

Text Solution

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The correct Answer is:
B
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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
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  2. If tan^(2) theta-4sqrt3 * tan theta+3=0,"then" : tan theta=

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  3. prove that: sin^2 3 0^(@)+sin^2 4 5^(@)+sin^2 6 0^(@)=3/2

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  4. prove that: 4 cot^2(45^ @) - sec^2(60^ @)+ sin^2(30^ @) = 1/8

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  5. [(1-tan^(2)30^(@))div(1+tan^(2)30^(@))]-sin30^(@)=A)-1 B)0 C)1 D)2

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  6. 2sin 60^(@)-cos180^(@)+(1//3)sin270^(@)=A)sqrt2+(3)/(2) B)sqrt3+(2)/(3...

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  7. If cos theta=-3//5,"where" piltthetalt(3pi//2), "then" : (cssc theta+...

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  8. If sin theta=3//5,"where" (pi//2)ltthetaltpi, "then" : (sectheta-tant...

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  9. If tan theta=1/sqrt7,then (c o s e c^2theta-sec^2theta)/(c o s e c^2th...

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  10. If sin A=11//61, "where" 0ltAlt(pi//2), "then : (secA+tanA)/(cotA-csc...

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  11. If tan theta=-4//5 and theta is not is the second quadrant, then : cs...

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  12. If cos theta=-1//2 and pi lt theta lt (3pi//2), "then" : 4 tan^(2)the...

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  13. If sec theta=sqrt2, ((3pi)/2) lt theta lt 2pi then find the value of (...

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  14. If 3 tan alpha=4and 180^(@) lt alpha lt 270^(@), "then" : 2 cot alpha...

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  15. If sin theta = 4//5, where pi//2 lt theta lt pi, evaluate : (sec th...

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  16. If tan theta = - 3//5 and theta is not in the second quadrant, find t...

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  17. If x=sin^(2)theta+3 cos theta-2=0, "then" : cos^(3)theta + sec^(3)thet...

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  18. If x= sin^(2)theta* cos theta and y=sin theta cos^(2)theta,"then" :

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  19. If sin x + cos x = sqrt2 * c os x, "then : cos x - sin x = ......A)sq...

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  20. If xsin45^@cos^2(60^@)=(tan^2(60^@)cosec30^@)/(sec45^@cot^2(30^@)), t...

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