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Evaluate the following: (tan45^@)/(cos...

Evaluate the following: `(tan45^@)/(cos e c\ 30^@)+(sec60^@)/(cot45^@)-(5sin90^@)/(2cos0^@)`

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Find the value of : (tan45^(@))/(cosec30^(@))+(sec60^(@))/(cot45^(@))-(5sin90^(@))/(2cos0^(@))

Find the value of : (i) (tan 45^(@))/("cosec 30"^(@)) + (sec 60^(@))/(cot 45^(@)) - (5 sin 90^(@))/(2 cos 0^(@)) (ii) 3 sin^(2)30^(@) + 2 tan^(2)60^(@) - 5 cot^(2)45

using trigonometric tables evaluate the following : (cot 30^(@))/(sec 30^(@)) + ("cosec 30"^(@))/(tan 45^(@)) - (2 cos 0^(@))/(sin 30^(@)) + cos^(2) 45^(@)

Evaluate the following: (i) (tan35^@)/(cot55^@)+(cot78^@)/(tan12^@)-1 (ii) (sec70^@)/(cos e c\ 20^@)+(sin59^@)/(cos31^@)

Evaluate the following (i) sin 60^@ cos30^@ + sin 30^@ cos 60^@ (ii) 2tan^2 45^@ + cos^2 30^@ - sin^2 60^@ (iii) (cos45^@)/(sec30^@ + c o s e c 30^@) (iv) (sin30^@ + tan45^@ - c o s e c 60^@ )/(sec30^@ + cos60^@ +cot45^@) (v) (5cos^2 60^@ + 4sec^2 30^@ - tan^2 45^@ )/ (sin^2 30^@ + cos^2 30^@ )

Evaluate the following: (tan^2 60o+4cos^2 45o+3sec^2 30o+5cos^2 90o)/(cos e c\ 30o+sec60o-cot^2 30o)

Evaluate : sin ^(2)60^(@)tan 45^(@)- cos^(2)45^(@)sec 60^(@)

Evaluate the following: (i) 4/(cot^2 30o)+1/(sin^2 60o)-cos^2 45o (ii) 4(sin^4 30o+cos^2 60o)-3(cos^2 45o-sin^2 90o)-sin^2 60o

Evaluate each of the following: (sin^2 45^o + cos^2 45^o)/(tan^2 60^o) (ii) (sin30^o-sin90^o + 2cos0^o)/(tan30^otan60^o)

Evaluate each of the following: (sin60^o)/(cos^2 45^o)-cot30^o + 15cos90^o\ (ii) (5sin^2 30^o + cos^2 45^o-4tan^2 30^o)/(2sin30^ocos30^o + tan45^o)

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate the following: (i) 4/(cot^2 30o)+1/(sin^2 60o)-cos^2 45o ...

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

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

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

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  5. Find the value of x in each of the following: tanx=sin45°cos45°+si...

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

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  7. If theta=30^@ , verify that: (i) cos2theta=(1-tan^2theta)/(1+tan^2th...

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  8. If A=B=60^@ , verify that (i) cos(A-B)=cosAcosB+sinAsinB (ii) sin(A...

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  9. If A=30^@ and B=60^@ , verify that (i) sin(A+B)=sinAcosB+cosAsinB (...

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  10. Using the formula of sin(A-B)=sinAcosB-cosAsinB find the value of sin1...

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  11. In a right triangle A B C , right angled at C , if /B=60o and A ...

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  12. If /\A B C is a right triangle such that /C=90^@ , /A=45^@ and B C=7...

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

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  14. If sin(A+B)=1 and cos(A-B)=1, 0^@ < A+Blt=90^@ , AgeqB find A and B .

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  15. If tan(A-B)=1/(sqrt(3)) and tan(A+B)=sqrt(3) , 0^@ < A+B lt= 90^@, A >...

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  16. If sin(A-B) = 1/2 and cos(A+B) = 1/2, 0^o < A+B <90^o and A>B, then f...

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  17. In a /\A B C right angled at B , /A=/C . Find the values of (i) si...

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  18. If A and B are acute angles such that tanA=1/2 , tanB=1/3 and tan(A...

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  19. In /\P Q R , right-angled at Q ,\ P Q=3c m and P R=6c m . Determine ...

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  20. Evaluate the following: (i) (cos80^o)/(sin10^o)+cos59^o\ cos e c\ 31...

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