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Find the value of the following trigonom...

Find the value of the following trigonometric functions:`sin 1110^@`

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AI Generated Solution

To find the value of \( \sin 1110^\circ \), we can follow these steps: ### Step 1: Reduce the angle First, we need to reduce \( 1110^\circ \) to an equivalent angle within the range of \( 0^\circ \) to \( 360^\circ \). We can do this by subtracting multiples of \( 360^\circ \). \[ 1110^\circ - 360^\circ \times 3 = 1110^\circ - 1080^\circ = 30^\circ \] ...
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MAHAVEER PUBLICATION-TRIGONOMETRIC RATIOS-QUESTION BANK
  1. Find the value of the following trigonometric functions:sin 570^@

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  2. Find the value of the following trigonometric functions:tan(-1125^@)

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  3. Find the value of the following trigonometric functions:sin 1110^@

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  4. Find the value of the following trigonometric functions:sin 660^@

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  5. Find the value of the following trigonometric functions: cos(-225^@)

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  6. Show that sin^2 20^@+sin^2 70^@=1

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  7. Show that sin^2 49^@+sin^2 41^@=1

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  8. Show that sin^2 36^@+sin^2 54^@=1

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  9. Show that sin^2 46^@+sin^2 44^@=1.

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  10. Prove that sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sinthe...

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  11. Prove thatsqrt((cosec theta+cottheta)/(cosec theta-cottheta))=(sin the...

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  12. Prove that sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sinthe...

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  13. Prove that cosec^2theta+sec^2theta=(sec^2theta)/(sin^2theta)

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  14. (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=

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  15. Prove that cos(120^@-A)+cosA+cos(120^@+A)=0.

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  16. Prove that tan(45^@-theta)=(cos theta-sin theta)/(cos theta + sin thet...

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  17. Prove that tan(pi/4+theta/2)=sec theta+tan theta

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  18. sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =(3)/(16)

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  19. If A+B+C=pi, prove that sin 2A+sin 2B-sin 2C=4 cos A cos B sin C

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  20. If A+B+C=pi, prove that tan A+tan B+tan C= tanA tan B tan C

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