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Show that : cos^(2)60^(@)-sin^(2)60^(@)...

Show that : `cos^(2)60^(@)-sin^(2)60^(@)=-sin30^(@)`

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Show that (i) cos60^(@)*cos30^(@)-sin60^(@)*sin30^(@)=cos90^(@) (ii) cos60^(@)=1-2sin^(2)30^(@)=2cos^(2)30^(@)-1 (iii) (tan60^(@)-tan30^(@))/(1+tan60^(@)*tan30^(@))=tan30^(@)

cos^(2)30^@-sin^(2)30^@=cos60^@

Evaluate : 3 cos^(2)60^(@)sec^(2)30^(@)-2 sin^(2)30^(@)tan^(2)60^(@)

Evaluate each of the following : cos60^(@)cos30^(@)-sin60^(@)sin30^(@)

Show that cos(60^@-A) cos(30^@-B)-sin(60^@-A)sin(30^@-B)=sin(A+B)

Evaluate : cos60^(@)cos30^(@)+ sin 60^(@)sin30^(@)

Prove that: (cos30^(@)+sin60^(0))/(1+cos60^(@)+sin30^(@))=(sqrt(3))/(2)

Prove that: (cos(60^(@)-A)+sin(30^(@)-A))/(cos(30^(@)-A)-sin(60^(@)-A))= cotA

Prove that: (cos(60^(@)-A)+sin(30^(@)-A))/(cos(30^(@)-A)-sin(60^(@)-A))=cotA

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

NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Exercise 8 B
  1. Find the value of 2sin30^(@)cos30^(@).

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  2. Show that : 2tan^(2)60^(@)-6(sin^(2)45^(@)-tan^(2)30^(@))=5

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  3. Find the vlaue of 4sin^(2)30^(@)+tan^(2)60^(@)+sec^(2)45^(@).

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  4. Find the value of (sin30^(@))/(cos^(2)45^(@))-tan^(2)60^(@)+3cos90^(@)...

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  5. Evaluate : (sin^(2)30^(@)+sin^(2)45^(@)-4cot^(2)60^(@))/(2sin30^(@)cos...

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  6. (2tan3 0^(@))/(1-tan^2 3 0^(@))

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  7. Show that : cos^(2)60^(@)-sin^(2)60^(@)=-sin30^(@)

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  8. (2tan3 0^(@))/(1-tan^2 3 0^(@))

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  9. Show that : cos30^(@)=sqrt((1+cos60^(@))/(2))

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  10. Evaluate : (tan45^(@))/(2sin30^(@)-cos60^(@))

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  11. If A=30^@ verify that cos3A=4cos^3A-3cosA

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  12. If A =45^(@),then show that : cos 2A=cos^(2)A-sin^(2)A

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  13. If A=60^@, B==30^@ then verify that cos(A+B)=cosA.cosB-sinA.sinB

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  14. If A =30^(@),then show that : tan2A=(2tanA)/(1-tan^(2)A)

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  15. If tanA=1,then find the value of sin^(2)A+cos^(2)A+cotA.

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  16. If costheta=(sqrt(3))/(3), then find the value of sin3theta.

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  17. If tan(A+B)=sqrt(3)andsin(A-B)=(1)/(2),then find the value of tan (2A-...

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  18. If cos(A+B)=0andsin(A-B)=(sqrt(3))/(2)then find the value of tan(A-3B)...

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  19. If A+B=90^(@)andtanA=sqrt(3), then find the value of B.

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  20. If A-B=30^(@)andsinA=(sqrt(3))/(2),then find the value of B.

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