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Write the least value of cos^2theta+sec^...

Write the least value of `cos^2theta+sec^2thetadot`

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To find the least value of \( \cos^2 \theta + \sec^2 \theta \), we can follow these steps: ### Step 1: Rewrite the secant function Recall that \( \sec \theta = \frac{1}{\cos \theta} \). Therefore, we can rewrite \( \sec^2 \theta \) as: \[ \sec^2 \theta = \frac{1}{\cos^2 \theta} \] ...
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RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. If cot(alpha+beta)=0\ ,\ then write the value of "sin"(alpha+2beta) .

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  2. If t a n A+cot A=4, then write the value of t a n^4A+cot^4Adot

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  3. Write the least value of cos^2theta+sec^2thetadot

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  4. If x=sin^(14)theta+cos^(20)theta , then write the smallest interval in...

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  5. If 3sintheta+5costheta=5, then write the value of 5sin theta-3costheta...

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  6. If sectheta=x+1/(4x) , then s e ctheta-t a ntheta is equal to -2x ,1/(...

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  7. If pi/2 < theta < (3pi)/2 then sqrt ((1-sin theta)/(1+sin theta))= a....

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  8. If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. co...

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  9. If sec theta= x+1/(4x) then sec theta+ tan theta= a, x, 1/(x), b. 2x, ...

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  10. If pi/2ltthetaltpi, then sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sinth...

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  11. If tan theta+sectheta=sqrt(3),\ 0<theta<pi, then theta is equal to (5p...

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  12. If t a ntheta=-1/(sqrt(5)) and theta lies in the IVB quadrant, then th...

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  13. Prove the followings : sin^6A+cos^6A+3sin^2A cos^2A= 1

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  14. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

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  15. If theta is an acute angle and t a ntheta=1/(sqrt(7)) , then the value...

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  16. Find the value of sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)...

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  17. If t a n A+cot A=4, then tan^4A+cot^4A is equal to a.110 b. 191 c. 80...

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  18. If xsin45^@cos^2 60^@=(tan^2 60^@cos e c 30^@)/(s e c 45^@cot^2 30^@),...

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  19. If cosectheta+cottheta=(11)/2 , then t a ntheta= (a)(21)/(22) (b) (...

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  20. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

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