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Verify that: sin60o=(2tan30o)/(1+tan...

Verify that: `sin60o=(2tan30o)/(1+tan^2 30o)=(sqrt(3))/2` (ii) `cos60o=(1-tan^2 30o)/(1+tan^2 30o)=1/2`

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((2 tan 30^@)/(1-tan^2 30^@)) =?

(2tan30^(@))/(1-tan^(2)30^(@))

(2 tan 30^(@))/(1 + tan^(2)30^(@)) =

(2tan30o)/(1+tan^2 30o) is equal to sin60o (b) cos60o (c) tan60o (d) sin30o

(2tan30o)/(1-tan^2 30o) is equal to cos60o (b) sin60o (c) tan60o (d) sin30o

If A=30^(@) , verify that (i) sin2A=(2tanA)/(1+tan^(2)A) (ii) cos2A=(1-tan^(2)A)/(1+tan^(2)A) (iii) tan2A=(2tanA)/(1-tan^(2)A)

If /_A=30^(@), verify each of the following (i)sin2A=(tan A)/(1+tan^(2)A)(ii)cos A=(1-tan^(2)A)/(1+tan^(2)A)

Find the vlaue of (2tan30^(@))/(1-tan^(2) 30^(@)) .

Value of (2tan30^(@))/(1+ tan^(2)30^(@))

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

RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. If A=30^@ verify that cos3A=4cos^3A-3cosA

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  2. If x=30^@ , verify that : (i) tan2x=(2tanx)/(1-tan^2x) (ii) sinx=sqr...

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  3. Verify that: sin60o=(2tan30o)/(1+tan^2 30o)=(sqrt(3))/2 (ii) cos60...

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  4. Verify that: (i) cos60^@=cos^2 30^@-sin^2 30^@=1/2 (ii) 4(sin^4 30^...

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  5. If theta is an acute angle and sintheta=costheta , find the valu...

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  6. Given that sin(A+B)=sinAcosB+cosAsinB , find the value of sin75^@ .

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  7. In a rectangle A B C D ,\ \ A B=20 c m , /B A C=60o . Calculate ...

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  8. Evaluate the following: (i) sin45osin30o+cos45ocos30o (ii) sin60oc...

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  9. Evaluate the following: (i) cos60ocos45o-sin60osin45o (ii) sin^2 3...

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  10. Evaluate the following: cos^2 30o+cos^2 45o+cos^2 60o+cos^2 90o (...

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  11. Evaluate the following: (i) 2sin^2 30o-3cos^2 45o+tan^2 60o (ii) s...

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  12. Evaluate the following: 4(sin^4 60o+cos^4 30o)-3(tan^2 60o-tan^2 4...

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  13. Evaluate the following: cos e c^3 30ocos60otan^3 45osin^2 90osec^2 ...

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  14. Evaluate the following: (cos0o+sin45o+sin30o)(sin90o-cos45o+cos60o)...

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  15. Evaluate the following: (i) 4/(cot^2 30o)+1/(sin^2 60o)-cos^2 45o ...

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  16. Evaluate the following: (tan^2 60o+4cos^2 45o+3sec^2 30o+5cos^2 90o...

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  17. Evaluate the following: (tan45^@)/(cos e c\ 30^@)+(sec60^@)/(cot45^@...

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  18. Find the value of x in each of the following: (i) 2sin3x=sqrt(3) (...

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  19. Find the value of x in each of the following: tanx=sin45ocos45o+...

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  20. If theta=30^@ , verify that: (i) tan2theta=(2tantheta)/(1-tan^2theta...

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