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Show that : (i) (1-sin60^(@))/(cos60^(...

Show that :
`(i) (1-sin60^(@))/(cos60^(@))=(tan60^(@)-1)/(tan60^(@)+1)` `(ii) (cos30^(@)+sin60^(@))/(1+sin30^(@)+cos60^(@))=cos30^(@)`

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Show that : (1-sin60^(@))/(cos60^(@))=2-sqrt3 .

Prove (1-sin60^(@))/(cos60^(@))=(1-tan30^(@))/(1+tan30^(@))

(log)_(sin30^(@)cos60^(@))=1

"(1) "sin60^(@)cos30^(@)+sin30^(@)cos60^(@)

((tan60^(@)+1)/(tan60^(@)-1))^(2)=(1+cos30^(@))/(1-cos30^(@))

(sin30^(@)-sin90^(@)+2cos0^(@))/(tan30^(@)tan60^(@))

Show that : sin 30^(@)=sqrt((1-cos60^(@))/(2))

((cos30^(@)+sin60^(@))/(1+cos60^(@)+sin30^(@)))=(sqrt(3))/(2)

sin60^(@).cos30^(@)+cos30^(@)*sin60^(@)

Verify each of the following : (i) sin60^(@)cos30^(@)-cos60^(@)sin30^(@)=sin30^(@) (ii) cos60^(@)cos30^(@)+sin60^(@)sin30^(@)=cos30^(@) (iii) 2sin 30^(@)cos30^(@)=sin60^(@) (iv) 2sin45^(@)cos45^(@)=sin90^(@)

RS AGGARWAL-T-RATIOS OF SOME PARTICULAR ANGLES-Exercise 11
  1. Evaluate each of the following : (sin^(2)+30^(@)+4cot^(2)45^(@)-sec^...

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  2. Evaluate each of the following : (4)/(cot^(2)30)+(1)/(sin^(2)30^(@))...

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  3. Show that : (i) (1-sin60^(@))/(cos60^(@))=(tan60^(@)-1)/(tan60^(@)+1...

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  4. Verify each of the following : (i) sin60^(@)cos30^(@)-cos60^(@)sin30...

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  5. If A=45^(@), verify that (i) sin2A=2sinAcosA (ii) cos2A=2cos^(2)A-1=...

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  6. If A=30^(@), verify that (i) sin2A=(2tanA)/(1+tan^(2)A) (ii) cos2A=(...

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  7. If A=60^(@) and B=30^(@), verify that : (i)sin(A+B)=sinAcosB+cosAsin...

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  8. If A=60^(@) and B=30^(@), verify that : (i)sin(A-B)=sinAcosB-cosAsin...

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  9. If A and B are acute angles such that tanA=(1)/(3), tanB=(1)/(2) and t...

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  10. Using the formula, tan 2A = (2tanA)/(1-tan^2A), find the value of tan...

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  11. Using the formula cos A =sqrt((1+cos2A)/(2)), find the value of cos30^...

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  12. Using the formula, sinA=sqrt((1-cos2A)/(2)), find the value of sin30^(...

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  13. In the adjoining figure, DeltaABC is a right-angled triangle in which ...

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  14. In the adjoining figure, DeltaABC is right-angled at B and /A=30^(@) ...

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  15. In the adjoining figure, DeltaABC is right-angled at B and /A=45^(@) ...

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  16. If sin(A+B)=1 and cos(A-B)=1, 0^(@) le (A+B) le 90^(@) and A gt B then...

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  17. If sin(A-B)=(1)/(2) and cos(A+B)=(1)/(2), 0^(@) lt (A+B) lt 90^(@) and...

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  18. If tan(A+B)=sqrt(3) and t a n(A B)=1/(sqrt(3)); 0o<A+Blt=90o;""...

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  19. If 3x=cosectheta and (3)/(x)=cottheta, find the value of 3(x^(2)-(1)/(...

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  20. If sin(A+B)=sinAcosB+cosAsinB and cos(A-B)=cosAcosB+sinAsinB, find the...

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