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Using geometry prove that tan (90- the...

Using geometry prove that
`tan (90- theta) = cot theta`.

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Using geometry prove that sin (90 - theta) = cos theta .

Using geometry prove that sec (90 - theta) = cosec theta .

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KALYANI PUBLICATION-Complementary Angles and there Trigonamytry Ratios-EXERCISE
  1. Using geometry prove that sin (90 - theta) = cos theta.

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  2. Using geometry prove that tan (90- theta) = cot theta.

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  3. Using geometry prove that sec (90 - theta) = cosec theta.

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  4. Evaluate (cos 54°)/ (sin 36°).

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  5. Evaluate (sin 11°)/(cos 79°).

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  6. Evaluate (sin (90 - theta). cos (90 - theta))/(sin theta cos theta)

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  7. Evaluate tan1° tan 45° tan 89°.

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  8. Evaluate sec 50" sin 40° + cos 40" cosec 50°.

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  9. Evaluate sin theta sec (90 - theta) + cos theta cosec (90 - theta).

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  10. Evaluate cos thetasin theta + cos thetacos (90 - theta) + {(sin thet...

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  11. If sin 3 theta = cos (theta- 26°) where 3 theta and (theta -26°) are a...

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  12. If cot 5 theta = tan 10 theta, then find the value of theta.

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  13. If cos (20° + theta) = sin 30°, then find the value of theta.

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  14. If cos 9 theta = sin theta and 9 theta < 90° then find the value of ta...

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  15. If tan 2 theta = cot (theta - 18°), then the value of theta.

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  16. Prove that: tan 5° tan 85° tan 30° tan 65° tan 25° = 1/sqrt 3.

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  17. Prove that: tan 4° tan 43° tan 47° tan 86° = 1.

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  18. Prove that: tan 35° tan 40° tan 45° tan 50° tan 55° = 1.

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  19. Prove that: cosec (65° + theta) - sec (25° - theta) - tan (55° - the...

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  20. Prove that: (2 sin 68°)/(cos 22°)-( 2 cot 15°)/( 5 tan 75°)- 3( tan ...

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