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prove: ((sin0^@+sin60^@)(cos60^@+cot45^@...

prove: `((sin0^@+sin60^@)(cos60^@+cot45^@))/((cot60^@+tan30^@)(cosec30^@-cosec90^@))=9/8`

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Prove that ((sin0^@+cos30^@)(sin30^@+tan45^@))/((tan30^@+cot60^@)(sec60^@-cosec90^@))=9/8 .

(sin30^(@)cos45^(@))/(tan 60^(@)) is equal to

Evaluate the following (sin 30^(@) +tan 45^(@) -cosec 60^(@) )/( cot 45^(@)+cos 60^(@) -sec 30^(@))

True or false: sin30^@ + sin60^@ >sin 90^@ .

prove: cos^2 ""60^@,cos^2 ""45^@,cos^2 ""30^@ are in A.P

Solve: x tan 60^@cos^2 30^@ = (tan^2 45^@ sec 60^@)/(cosec 60^@)

Prove that sqrt((1+cos30^@)/(1-cos30^@))=sec 60^@+tan 60^@ .

Calculate : (1-sin^(2)30^(@))/(1+sin^(2)30^(@))xx(cos^(2)60^(@)+cos^(2)30^(@))/("cosec"^(2)90^(@)-cot^(2)90^(@)) divide (sin60^(@) tan30^(@))

Calculate : (tan60^(@)-tan30^(@))/(1+tan60^(@) tan30^(@))+cos60^(@) cos30^(@)+sin60^(@) sin 30^(@) .

Find the values of sin 30^(@) ,cos 30 ^(@) ,tan 30 ^(@) ,cosec 30^(@) ,sec 30 ^(@) and cot 30^(@) by using the ratio concepts .

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES-EXERCISE 2
  1. Prove the following identities: (sinalpha+cosecalpha)^2+(cosalpha+se...

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  2. Prove the following identities: (1+secA+tanA)(1-cosecA+cotA)=2

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  3. prove: ((sin0^@+sin60^@)(cos60^@+cot45^@))/((cot60^@+tan30^@)(cosec30^...

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  4. prove: cos^2 ""60^@,cos^2 ""45^@,cos^2 ""30^@ are in A.P

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  5. prove: tan(pi/3),tan(pi/4),tan(pi/6) are in G.P

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  6. prove: 2cos^2(pi/3)+3/4sec^2(pi/4)+4sin^2(pi/6)=cot^2(pi/6)

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  7. The angle A of the triangle ABC is obtuse, if sec(B+C)=cosec (B-C)=2,...

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  8. If theta is a positive acute angle and tan theta=3/4, find sin theta...

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  9. If theta is a positive acute angle and sec theta =(m^2+1)/(2m) find ...

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  10. If theta is a positive acute angle and cos theta=(15)/(17) , find th...

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  11. If A and B are positive acute angles and sinA =3/5,cosB=(15)/(17) , fi...

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  12. If tantheta =a/b, find the value of (bcostheta-asintheta)/(b cos theta...

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  13. If cos theta +sec theta=sqrt(3), show that, cos^3theta+sec^3theta=0 .

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  14. Express 1+4cosec^2alphacot^2alpha in the form of a perfect square.

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  15. If 3cos alpha-4sinalpha=5, show that, 3sinalpha+4cosalpha=0 .

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  16. If sinalpha=x and tan alpha=y, prove that, 1/x^2-1/y^2=1.

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  17. If tan alpha+cotalpha=2, show that, tan^7alpha+cot^7alpha=2.

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  18. If an=sin^n theta+cosec^ntheta and a1=2 prove that, an=2 .

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  19. If cosalpha+secalpha=2, show that cos^3alpha+sec^3alpha=2.

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  20. If x=rcos thetacosphi,y=rcosthetasinphi and z=r sin theta, show that ,...

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