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If theta lies in the first quadrant whic...

If `theta` lies in the first quadrant which of the following in not true

A

`(theta)/(2)lttan ((theta)/(2))`

B

`(theta)/(2)ltsin ""(theta)/(2)`

C

`thetacos^(2)((theta)/(2))ltsintheta`

D

`theta sin"(theta)/(2)lt 2 sin""(theta)/(2)`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If tan(A+B)=pand tan(A-B)=q, then the value of tan2A, is

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  2. In a tringle ABC, sin A-cosB=cosC, then angle B, is

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  3. If theta lies in the first quadrant which of the following in not true

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  4. cos2 theta+2 costheta is always

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  5. The interior angles of a polygon are in A.P. the smallest angle is 120...

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  6. The maximum and minimum values of -4le5cos theta+3cos(theta+(pi)/(3...

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  7. Prove that: sin36^0s in 72^0s in 108^0s in 144^0=5/(16)dot

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  8. If A=tan6^0tan42^0 and B=cot66^0cot78^0 , then

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  9. If sinx+cosecx=2," then "sin^nx+cosec^nx is equal to

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  10. If (x)/(a) cos alpha+ (y)/(b) sin alpha = 1, (x)/(a) cos beta + (y)/(b...

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  11. The value of theta lying between 0 and pi/2 and satisfying |[1+sin^2th...

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  12. The vlaue of sqrt3cot20^(@)-4cos20^(@), is

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  13. Show that sqrt(3)\ cos e c\ 20^0-sec20^0=4.

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  14. The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if

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  15. The value of sin(pi+theta)sin(pi-theta)cosec^(2)theta is equal to

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  16. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , show that (tanx)/(tany)=a/b .

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  17. if sin x + sin^2 x = 1, then the value of cos^2 x + cos^4x is

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  18. If tan(x/2)=cosec x-sin x, then find the value of tan^(2) (x/2).

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  19. If cosA=3/4, then 32 sin (A/2) sin ((5A) /2)= ------------- ...

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  20. Prove that: (1+cos. (pi)/8)(1+cos. (3pi)/8)(1+cos. (5pi)/8)(1+cos. (7...

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