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Given A=sin^2theta+cos^2theta, then for ...

Given `A=sin^2theta+cos^2theta,` then for all real `theta,` `1lt=Alt=2` (b) `3/4lt=Alt=1` `(13)/(16)lt=Alt=1` (d) `3/4lt=Alt=(13)/(16)`

A

`1 leAle2`

B

`3/4leAle1`

C

`13/16leAle1`

D

`3/4leAle13/16`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. Which of the following is correct sin 1^@ > sin 1

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  3. Given A=sin^2theta+cos^2theta, then for all real theta, 1lt=Alt=2 (b...

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  4. The expression tan^(2)alpha+cot^(2)alpha,is

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  5. If tantheta =-4/3," then " sintheta is

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  6. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

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  7. In a right angled triangle, the hypotenuse is four times as long as th...

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  8. If theta lies in the first quardrant and costheta=(8)/( 17 ), then fi...

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  9. Find the value of cos^(4)""(pi)/(8)+cos^(4)""(3pi)/(8)+cos^(4)""(5pi)/...

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  10. If tan(A+B)=pand tan(A-B)=q, then the value of tan2A, is

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

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

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  13. cos2 theta+2 costheta is always

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

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

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

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

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

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

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

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