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costheta=(a^(2)+b^(2))/(2ab), where a an...

`costheta=(a^(2)+b^(2))/(2ab)`, where a and b are two distinct numbers such that `ab gt 0`.

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To solve the problem, we need to analyze the expression given: \[ \cos \theta = \frac{a^2 + b^2}{2ab} \] where \( a \) and \( b \) are two distinct positive numbers such that \( ab > 0 \). ...
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NCERT EXEMPLAR-INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS-Introduction To Trigonometry And Its Applications
  1. If a man standing on a platform 3 m above the surface of a lake observ...

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  2. The value of 2sintheta can be a+1/a, where a is a positive number and ...

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  3. costheta=(a^(2)+b^(2))/(2ab), where a and b are two distinct numbers s...

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  4. The angle of elevation theta of the top of a tower is 30^(@). If the h...

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  5. If the height of a tower and the distance of the point of observation ...

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  6. Prove that (sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec...

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  7. (tanA)/(1+secA) - (tanA)/(1-secA) = 2cosecA

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  8. If tan A=3/4, then sinAcosA =.

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  9. (sinalpha + cosalpha)(tanalpha + cotalpha) = secalpha + cosecalpha

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  10. Prove that (sqrt(3)+1)(3-cot30^@)=tan^3(60)^@-2sin60^@

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  11. Show that 1+cot^2alpha/(1+cosecalpha)=cosec alpha

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  12. tantheta+tan(9 0^(@)-theta)=secthetaxxsec(9 0^(@)-theta)

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  13. Find the angle of elevation of the Sun when the shadow of a pole h m ...

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  14. If sqrt(3)tantheta=1 then find value of sin^2theta-cos^2theta

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  15. A ladder 15 m long just reaches the top of a vertical wall. If the ...

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  16. Simplify: (1+tan^(2)theta)(1-sintheta)(1+sintheta)

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  17. If 2sin^2theta-cos^2theta=2, find the value of theta.

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  18. Evaluate : (cos^2(45 + theta) + cos^2(45 - theta))/(tan(60^@ + theta)...

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  19. An observer, 1.5 m tall, is 20.5 m away from a tower 22 m high. Determ...

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  20. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

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