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Show that : (cot(90^(@)-theta)*sin(90^...

Show that : `(cot(90^(@)-theta)*sin(90^(@)-theta))/(sintheta)+(cot50^(@))/(tan40^(@))=2`

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Without using trigonometric tables , evaluate the following : (cot(90^(@)-theta)*sin(90^(@)-theta))/(sintheta)+(cot40^(@))/(tan50^(@))-(cos^(2)20+cos^(2)70^(@))

Prove that : (cot(90^(@)-theta))/(tantheta)+("cosec"(90^(@)-theta)sintheta)/(tan(90^(@)-theta))=sec^(2)theta

Prove that: (tan(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)csc(90^(@)-theta))=1

Prove the following: (cos(90^(@)-theta)sec(90^(@)-theta)tan theta)/(cos ec(90^(@)-theta)sin(90^(@)-theta)cot(90^(@)-theta))+(tan(90^(@)-theta))/(cot theta)=2

Prove that (cos theta)/(sin(90^(@)+theta))+(sin(-theta))/(sin(180^(@)+theta))-(tan(90^(@)+theta))/(cot(theta))=3

((cos (90 ^ (@)) - theta) sin (90 ^ (@) - theta)) / (tan (90 ^ (@) - theta))

The value of (cos(90^(0)-theta)sec(90^(@)-theta)tan theta)/(csc(90^(@)-theta)sin(90^(@)-theta)cot(90^(@)-theta))+(tan(90^(@)-theta))/(cot theta) is 1(b)-1(c)2(d)-2

Find the value of x: i) xcot(90^(@)+theta)+tan(90^(@)+theta)sintheta+"cosec"(90^(@)+theta)=0 ii) "cosec"(90^(@)+theta)+x costhetacot(90^(@)+theta)=sin(90^(@)+theta)

Prove that (cos(90^(@)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360^(@)-theta)sin(180^(@)+theta)cot(90^(@)-theta))=-1

Prove that (cos theta cos(90^(@)-theta))/(cot(90^(@)-theta))=cos^(2)theta

NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Revision Exercise Short Answer Questions
  1. If sin(A-B)=1/2,""""cos(A+B)=1/2, 0o<A+Blt=90o,""""A > B , find A and ...

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  2. Find the value of sin30^(@) geometrically.

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  3. Find the value of sin60^(@) geometrically.

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  4. Prove that sqrt(sec^(2)theta + cosec^(2)theta) = tantheta + cottheta.

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  5. Prove that : sqrt((1+costheta)/(1-costheta))="cosec"theta+cottheta

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  6. sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sintheta)) is equ...

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  7. Prove that : tan^(2)theta-sin^(2)theta=tan^(2)thetasin^(2)theta

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  8. Prove that : (tanA+sinA)/(tanA-sinA)=(secA+1)/(secA-1)

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  9. Prove that : sin^(2)Acos^(2)B-cos^(2)Asin^(2)B=sin^(2)A-sin^(2)B

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  10. Prove that : sin^(2)theta+cos^(4)theta=cos^(2)theta+sin^(4)theta

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  11. Prove that : sin^(2)theta+(1)/(1+tan^(2)theta)=1

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  12. Prove that : (1-costheta)(1+costheta)(1+cot^(2)theta)=1

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  13. Prove that : (tan^(2)theta)/(1+tan^(2)theta)+(cot^(2)theta)/(1+cot^...

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  14. If tan3A=cot(A-10^(@)) where 3A is an angle , find A.

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  15. If cos5A=sin(A-30^(@)) where 5A is an acute angle , find A.

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  16. Show that : (cot(90^(@)-theta)*sin(90^(@)-theta))/(sintheta)+(cot50^...

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  17. Prove the following: (cos(90^0-theta)sec(90^0-theta)t a ntheta)/(cos ...

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  18. Show that : cos15^(@)cos35^(@)"cosec" 55^(@)sin30^(@)"cosec"75^(@)=...

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  19. Express cos70^(@)+sin70^(@)+tan65^(@) in terms of trigonometric ratio...

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  20. Evaluate : sin50^(@)cos40^(@)+cos40^(@)+cos50^(@)sin40^(@)

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