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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 sinthetacos(90^(@)-theta)=sin^(2)theta

sin(270^(@)-theta).sin(90^(@)-theta)-cos(270^(@)-theta).cos(90^(@)+theta)=

Prove that : (i) sinthetacos(90^(@)-theta)+sin(90^(@)-theta)costheta=1 (ii) sectheta" cosec"(90^(@)-theta)-tanthetacot(90^(@)-theta)=1 (iii) (sintheta*sec(90^(@)-theta)cot(90^(@)-theta))/("cosec"(90^(@)-theta)*costheta*tantheta)-(tan(90^(@)-theta))/(cottheta)=0 (iv) (1+sin(90^(@)-theta))/(cos(90^(@)-0))+(cos(90^(@)-theta))/(1+sin(90^(@)-0))=2"cosec"theta

Prove that : tantheta+tan(90^(@)-theta)=sectheta*sec(90^(@)-theta)

(sin(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)"cosec"(90^(@)+theta)) .

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

If xsin(90^@-theta)cot(90^@-theta)=cos(90^@-theta) , then x=

Prove the following: (cos(90^0-theta)sec(90^0-theta)t a ntheta)/(cosec(90^0-theta)sin(90^0-theta)cot(90^0-theta))+(tan(90^0-theta))/(cottheta)=2

Evaluate : (cos^(2)(45^(@) + theta)+ cos^(2) (45^(@) -theta))/(tan(60^(@) + theta) xx tan(30^(@) - theta))+(cot30^(@) + sin 90^(@))xx (tan60^(@) -sec0^(@))

NAGEEN PRAKASHAN ENGLISH-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. The value of (cos(90^0-theta)sec(90^0-theta)tantheta)/(cos e c(90^0-t...

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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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