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If sin theta = 5/7 what is cos theta and...

If `sin theta = 5/7` what is `cos theta` and `tan theta`?

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To solve the problem where \( \sin \theta = \frac{5}{7} \), we need to find \( \cos \theta \) and \( \tan \theta \). ### Step 1: Understand the relationship of sine in a right triangle Given \( \sin \theta = \frac{\text{perpendicular}}{\text{hypotenuse}} \), we can represent this in a right triangle where: - The perpendicular side (opposite to angle \( \theta \)) is \( 5 \). - The hypotenuse is \( 7 \). ### Step 2: Use the Pythagorean theorem to find the base ...
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MAHAVEER PUBLICATION-TRIGONOMETRIC RATIOS-QUESTION BANK
  1. Convert the following radian into degree measure(7pi)/6

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  2. Convert the following radian into degree measure(5pi)/3

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  3. If sin theta = 5/7 what is cos theta and tan theta?

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  4. If cos theta= 3/5 what is tan theta and cos ectheta?

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  5. If tan theta= 5/4 what is sin theta and cos theta?

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  6. If cos theta=-4/5, find the value of cot theta?

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  7. Given tan theta=-3/4 and (3pi)/2 lt theta lt 2pi, find the other trigo...

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  8. If tan (A+B)=p, tan(A-B)=q find tan 2A.

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  9. If tantheta=a/b , show that (asintheta-bcostheta)/(asintheta+bcostheta...

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  10. Evaluate the following: sin 78^@ cos 18^@-cos 78^@ sin 18^@

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  11. Evaluate the following: cos 47^@ cos 13^@-sin 47^@ sin 13^@

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  12. Find the value of the following trigonometric functions: sin 765^@

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  13. Find the value of the following trigonometric functions:cos(-1410^@)

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  14. Find the value of the following trigonometric functions:sin(-(11pi)/3)

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  15. Find the value of the following trigonometric functions:cot(-(15pi)/4)

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  16. Find the value of the following trigonometric functions:cos(-(31pi)/3)

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  17. Find the value of the following trigonometric functions:sin 570^@

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

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

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

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