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If thetane(2n+1)pi/2. ninI, then the lea...

If `thetane(2n+1)pi/2. ninI`, then the least value of `(sintheta+cosectheta)^2 + (costheta+sectheta)^2` is

A

2

B

4

C

8

D

9

Text Solution

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The correct Answer is:
C
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
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  3. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

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  4. If in a triangle ABC ,(sin A+sin B +sin C)(sinA+sinB-sin C)=3sinAsinB ...

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  5. Let n be a fixed positive integer such that sin(pi/(2n))+cos(pi/(2n))=...

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  6. Minimum value of4x^2-4x abs(sintheta)-cos^2theta is equal to

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  7. The maximum value of the expression abs(sqrt((sin^2x+2a^2))-sqrt((2a^2...

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  8. For 0ltthetaltpi/2 the solution of underset (m=1)overset6sumcosec(thet...

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  10. If tan9theta=3/4(where0ltthetaltpi/18)then the value of (3cosec 3theta...

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  11. If A,B,C are interior angles of a triangle ABC such that (cosA+cosB+co...

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  12. If tantheta+sectheta=e^x then costheta equals

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  13. If lambda be the minimum value of , y=(sinx+cosecx)^2+(cosx+secx)^2+(t...

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  14. If (sqrt2cosx+sqrt2sinx+sqrt7)m=1 holds then

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  15. if costheta1+costheta2+costheta3=3then sin^2theta1+sin^4theta2+sin^6th...

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  16. If sintheta+cosectheta=2 then sin^ntheta+cosec^ntheta=

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  17. If tan(alpha/2) and tan(beta/2) are the roots of the equation 8x^2-26x...

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  18. 4sin^2x +4cos^2xgek then k is

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  19. If sin A,cos A and tan A are in G.P. then cos^3A+cos^2A is equal to

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  20. If x+1/x=2costheta then x^3+1/x^3=

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