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If `theta` is an acute angle such that `2 sin^(2)theta - 2sqrt2 * sin theta +1 =0,"then" : theta=`A)`30^(@)` B)`45^(@)` C)`60^(@)` D)`90^(@)`

A

`30^(@)`

B

`45^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. (tan60^(@)+sec60^(@)-1)/(tan60^(@)-sec60^(@)+1)A)sec30^(@)+2cos60^(@) ...

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  2. If theta is an acute angle such that 4sin^(2) theta-2(sqrt3+1)sinthet...

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  3. If theta is an acute angle such that 2 sin^(2)theta - 2sqrt2 * sin th...

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  4. If A and B are acute angles such that cot(A+B)=1 and cosec(A-B) =2,"...

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  5. If A and B are acute angles such that 2 cos A*cot B-2cos A-cot B+1=0...

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  6. Find the acute angle A and B such that sec A * tan B -sec A -2 tan B...

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  7. If tan^(2) theta-4sqrt3 * tan theta+3=0,"then" : tan theta=

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

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

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  10. [(1-tan^(2)30^(@))div(1+tan^(2)30^(@))]-sin30^(@)=A)-1 B)0 C)1 D)2

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  11. 2sin 60^(@)-cos180^(@)+(1//3)sin270^(@)=A)sqrt2+(3)/(2) B)sqrt3+(2)/(3...

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

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

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

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

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

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

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

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

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

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