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Evaluate the following: (cos37^0)/(sin5...

Evaluate the following: `(cos37^0)/(sin53^0)` (ii) `(tan54^0)/(cot36^0)` (iv) `(cos e c34^0)/(sec56^0)`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. A rhombus of side 20cm has two angles of 60^0 each. Find the length of...

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  2. A B C is a right triangle, right angled at Cdot If A=30^0a n dA B=40 u...

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  3. Evaluate the following: (cos37^0)/(sin53^0) (ii) (tan54^0)/(cot36^0)...

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  4. Find acute angles Aa n dB , if sin(A+2B)=(sqrt(3))/2a n dcos(A+4B)=0,A...

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  5. In an acute angled triangle A B C , if tan(A+B-C)=1 and ,sec(B+C-A)=2,...

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  6. If each of alpha, betaa n dgamma is a positive acute angle such that s...

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  7. In a A B C , right angled at A , if A B=12 ,A C=5 and B C=13 , find a...

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  8. If cosB=1/3, find the other five trigonometric ratios.

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  9. In a A B C , right angled at A , if A B=5,A C=12a n dB C=13 , find si...

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  10. If sintheta=(a^2-b^2)/(a^2+b^2) , find the values of other five trigo...

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  11. If cos e cA=sqrt(10), find other five trigonometric ratios.

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  12. If tanA=sqrt(2)-1 show that sinAcosA=(sqrt(2))/4

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  13. If cos e cA=2, find the value of 1/(tanA)+(sinA)/(1+cosA)

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  14. Evaluate the following: (i) sin39^0-cos51^0 (ii) cos e c25^0-sec65^0 ...

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  15. The value of (tan55^0)/(cot35^0)+cot1^0cot2^0cot3^0cot90^0,i s -2 (b)...

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  16. If A + B is 90^@, then ( tan A. tan B + tan A. cot B)/ (Sin A. Sec B)...

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  17. If (xcos e c^2 30^0sec^2 45^0)/(8cos^2 45^0sin^2 60^0)=tan^2 60^0-tan^...

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

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  19. If tan2A=cot(A-18^0), where 2A is an acute angle, find the value of A.

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  20. Prove the following: sinthetasin(90^0-theta)-costhetacos(90^0-theta)=0

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