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Eliminate theta : x=2 sin theta, y=3 co...

Eliminate `theta : x=2 sin theta, y=3 cos theta.`

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if xsin^3theta+ycos^3theta =sin theta cos theta and x sin theta -y cos theta =0 prove that x^2+y^2=1

If x sin ^(3) theta + y cos ^(3) theta = sin theta cos theta and x sin theta = y cos theta, then which one of the following is correct ?

Prove that : (1+ sin theta - cos theta) / (1+ sin theta + cos theta ) = tan (theta/2)

Eliminate theta between tan theta -cot theta =a and cos theta +sin theta=b

Prove that, (1 + sin 2 theta - cos 2 theta)/(sin theta + cos theta)= 2 sin theta

If u = (1 + cos theta) (1+ cos2 theta) - sin theta sin 2theta, v = sin theta (1 + cos2 theta) + sin 2 theta(1 + cos theta), "show that" u^(2) + v^(2) = 4(1 + cos theta) (1 + cos 2theta).

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CALCUTTA BOOK HOUSE-TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES -EXERCISE
  1. Eliminate theta : x=2 sin theta, y=3 cos theta.

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  2. If tan theta=(p)/(q), what is the value of (p sec theta-q " cosec" t...

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  3. In DeltaABC, right angled at B, AB:AC=1:sqrt(2), then (2 tan A)/(1-ta...

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  4. (sin30^(@)cos45^(@))/(tan 60^(@)) is equal to

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  5. In DeltaABC, If angleC=90^(@), angleA=60^(@) and AB=40 cm, then AC is ...

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  6. Write true of false : cot theta=(cos theta)/(sin theta)

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  7. Write true of false : sin theta is a product of sin and theta.

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  8. Fill in the blanks : The trigonometric ratio cos theta= ul(" ...

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  9. Fill in the blanks : The value of sin theta can never be greate th...

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  10. Fill in the blanks : The value of cot 0^(@) is not .

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  11. Find the value of cos(-1170^(@)).

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  12. Calculate the value of sec(-1680^(@)) sin 330^(@).

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  13. Simplify : sin 300^(@) cos 390^(@) tan (-855^(@))+cos(-120^(@))* sin ...

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  14. Prove that tan 225^(@) cot 405^(@)+tan 765^(@) cot 675^(@)=0.

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  15. Evalute : "sin"^(2)(pi)/(4) + "cos"^(2) (3pi)/(4)+"cos"^(2)(5pi)/(4)...

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  16. Prove that "tan"(pi)/(12) "tan"(pi)/(16) "tan"(5pi)/(12)"tan"(7pi)/(1...

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  17. If tan 35^(@)=x, then prove that (tan 145^(@)- tan 125^(@))/(1+tan14...

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  18. Find the value of sin^(3)60^(@) cot 30^(@)-2 sec^(2) 45^(@)+3 cos60^(@...

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  19. If (cos theta)/(1-sin theta)-(costheta)/(1+sin theta)=2, then find the...

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  20. If (cos x)/(cosy)=n and (sinx)/(siny)=m, what is the value of (m^(2)...

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  21. If x cos 60^(@)+y cos0^(@)=3 and 4x sin 30^(@) -y cot 45^(@)=2, then ...

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