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`(cos45)/(sec30+cosec30)`

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`(cos45^(@))/(sec30^(@)+"cosec"30^(@))=(cos45^(@))/(sec30^(@)+"cosec"30^(@))=(1/(sqrt(2)))/(2/sqrt(3)+2)=(1/(sqrt(2)))/(((2+2sqrt(3)))/(sqrt(3)))`
`=(1)/(sqrt(2))xx(sqrt(3))/(2(sqrt(3)+1))= (sqrt(3)(sqrt(3)-1))/(2sqrt(2)(sqrt(3)+1)(sqrt(3)-1))`
`=(sqrt(6)(sqrt(3)-1))/(4(3-1))=(sqrt(6)(sqrt(3)-1))/(8)`
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Find the value of (cos45)/(sec30+csc30)

What is the value of (sin 45^@)/(sec30^@ + cosec 30^@) ?

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^@ )

The value of (sin^2 30^@+ cos^2 60^@+ sec 45^@.sin^2 45^@)/(sec60^@+ cosec 30^@) is : (sin^2 30^@+ cos^2 60^@+ sec 45^@.sin^2 45^@)/ (sec60^@+ cosec 30^@) का मान ज्ञात करें:

Evaluate (cos 45^(@))/(sec 30^(@) + cos 30^(@))

What is the value of (sin 45^(@))/(sec 30^(@)+ "cosec" 30^(@))?

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The value of (sin^2 30^@+ cos^2 60^@- sec 35^@.sin^2 55^@)/(sec60^@+ cosec 30^@) is equal to: (sin^2 30^@+ cos^2 60^@- sec 35^@.sin^2 55^@)/(sec60^@+ cosec 30^@) का मान क्या होगा ?

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NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Problems From NCERT/exemplar
  1. If s in A=3/4 , calculate cos A and tan A.

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  2. If angleA and angleB are acute angles such that cos A= cos B, then sho...

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  3. (cos45)/(sec30+cosec30)

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  4. Choose the correct option and justify your choice : (i) (2tan30o)/...

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

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  6. In DeltaA B C , right-angled at B, A B"\ "="\ "5"\ "c m and /A C B=30...

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

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  8. Prove that : sqrt((1-cos^(2)theta)sec^(2)theta)=tantheta

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  9. Prove (tantheta+2)(2tantheta+1)=5tantheta+2sec^2theta.

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  10. If cosA+cos^(2)A=1, then prove that sin^(2)A+sin^(4)A=1.

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  11. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

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  12. Prove that : 1+(cot^(2)alpha)/(1+"cosec"alpha)="cesec"alpha

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  13. Prove that : (sinalpha+cosalpha)(tanalpha+cotalpha)=secalpha+"cosecα...

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  14. Prove that : (sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2"cosec"t...

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  15. If 2sin^(2)theta-cos^(2)theta=2, then find the value of theta.

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  16. if tantheta+sectheta=l then prove that tantheta=(l^2+1)/(2l)

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  17. If asintheta+bcostheta=c then prove that acostheta-bsintheta=sqrt(a^2+...

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  18. If sintheta+costheta=pandsectheta+"cosec"theta=q then prove that q(p^(...

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  19. Prove that : tantheta+tantheta+tan(90^(@)-theta)=sectheta*sec(90^(@)-t...

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  20. Shown that : tan48^(@)tan23^(@)tan42^(@)tan67^(@)=1

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