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If tanbeta=costhetatanalpha, then "tan...

If `tanbeta=costhetatanalpha`, then `"tan"^(2)(theta)/(2)`=

A

`( sin ( alpha +beta))/( sin ( alpha - beta))`

B

`( cos ( alpha - beta))/( cos ( alpha + beta))`

C

`( sin ( alpha - beta))/(sin ( alpha + beta ))`

D

`(cos ( alpha + beta))/( cos ( alpha - beta))`

Text Solution

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The correct Answer is:
C
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)
  1. If costheta=(acosphi+b)/(a+bcosphi). Show that : tan.(theta)/(2)=pmsqr...

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  2. If cos theta =(cos alpha - cos beta)/( 1- cos alpha cos beta), then on...

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  3. If tanbeta=costhetatanalpha, then "tan"^(2)(theta)/(2)=

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  4. If tan^(2) (( pi )/( 4) + ( theta )/( 2)) = - ( a )/( b), then

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  5. If tan ( A+B) = 3 tan A, then ( sin 2 ( A+B) + sin 2A)/( sin 2B) is e...

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  6. If cos2B=(cos(A+C))/(cos(A-C)), then tan A, tan B, tan C are in

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  7. If cot y= (sin x- sin z)/(cos z- cos x) then which of the following ...

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  8. If sin(y+z-x), sin (z+x-y), sin (x+y-z) be in A.P., prove that tanx ta...

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  9. If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+s in^2varphi=0...

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  10. If A and B are positive acute angles satisfying the equalities 3 cos^(...

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  11. Givent that pi/2,alphaltpi then the expression sqrt((1-sinalpha)/(1+si...

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  12. If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((1-b)/(a+b)) is equal to 2s ...

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  13. If the angle A of a triangle ABC is given by the equation 5 cos A + 3 ...

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  14. If ABCD, is a cycling quadrilateral such that tanA-5=0and 5cosB+3=0, t...

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  15. If cos(A-B)=3/5and tan A tanB=2, then

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  16. If tan A and tan B are the roots of the quadratic equation x^(2)-px+q=...

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  17. The value of (3 + cot 76^(@)cot 16^(@))/(cot 76^(@) + cot 16^(@))=

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  18. ( 2 sec theta + 3 tan theta + 5 sin theta - 7 cos theta +5)/( 2 tan th...

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  19. The value of 16 sin 144^@ sin 108^@ sin 72^@ sin 36^@ is equal to

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  20. Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8)...

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