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If tan theta1= k cot theta2 " then " (c...

If ` tan theta_1= k cot theta_2 " then " (cos (theta_1- theta_2))/(cos(theta_1+theta_2))=`

A

`(1+k)/(1-k)`

B

`(1-k)/(1+k)`

C

`(k+1)/(k-1)`

D

`(k-1)/(k+1)`

Text Solution

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A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
  1. If tan(A+B)=m , tan (A-B)=n, " then " tan 2A=

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  2. If tan (A+B)=p , tan (A-B)=q , " then " cot 2B=

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  3. If tan theta1= k cot theta2 " then " (cos (theta1- theta2))/(cos(thet...

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  4. If tan A =18//17 , tan B=1//35 then tan (A-B)=

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  5. If tan(pi//4 + theta ) + tan (pi//4 - theta ) =3 , " then " tan^(2)(p...

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  6. If tan""[(pi)/4 + theta ]+tan[(pi)/(4)- theta ]=a " then " tan^(3)[(pi...

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  7. If cos alpha + cos beta =0 = sin alpha + sin beta " then " cos (alpha...

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  8. If tan theta =(cos 12^@ + sin 12^(@))/(cos 12^(@)-sin12^(@)) " then "...

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  9. If tan 20^@ =p , " then " (tan 160^@ - tan 110^(@))/(1+ tan 160^(@) ta...

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  10. If 0 lt theta lt pi//2 and 2 sin theta = sqrt(3) cos 10^(@) + sin 10^(...

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  11. If A+B=pi//2 then tan B+ 2 tan (A-B)=

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  12. If A+B=135^(@) " then " (1+ cot A ) (1+cot B)=

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  13. If A+B=45^(@), then prove that (i) (1+ tan A) (1+ tan B) =2 (ii) (cot...

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  14. If A+B=225^(@) than prove that (cot A)/(1+cotA). (cot B)/(1+cotB)=(1)/...

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  15. If alpha + beta = 3pi//4 " then " (1- tan alpha ) (1- tan beta ) =

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  16. If A, B are acute angles, sin A =4/5 , tan B=5/12 , then sin (A+B)=

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  17. If A,B are acute angle , sin 4/5 , tan B=5/12 , then cos (A-B)=

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  18. If A,B are acute angle, tan A=5/12 , cos B=3/5 , then cos (A+B)=

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  19. If A,B are acute angle , tan A=(n)/(n+1), tan B=(1)/(2n+1), " then " A...

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  20. If sin A=1//sqrt(10), sin B= 1//sqrt(5) where A and B are positive an...

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