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If the arcs of the same lengths m two circles subtend angles `65o`and `110o`at the centre, find the ratio of their radii.

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AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Try Yourself
  1. Convert 10^(@) into radians.

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  2. Convert 3 radians into degrees.

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  3. If the arcs of the same lengths m two circles subtend angles 65oand 1...

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  4. The radius of a cirle is 30 cm. Find the length of an arc of this circ...

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  5. The minute hand of a watch is 5cm long. How far does its tip move in 3...

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  6. If sin theta=-12/13 and theta lies in the IV quadrant, then find all o...

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  7. If costheta=1/2 and pi< theta < (3pi)/2 , find the value of 4tan^2thet...

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  8. Find the values of the following trigonometric ratio: cos 855^0

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  9. Prove that sin^(2) (pi/6) + cos^(2) (pi/3) - tan^(2) (pi/4) = - (1)/(2...

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  10. In a triangle ABC, prove that (a)cos(A + B) + cos C = 0 (b)tan( (A+...

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  11. Using the graph, determine the values of theta, for which sin theta an...

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  12. If sinA=3/5 and cosB =-12/15, where A and B both lie in second quadran...

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  13. Computer sin 75^(@) , cos 75^(@) and tan 15 ^(@), from the functions o...

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  14. Prove that:(tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2

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  15. Prove that tan8theta - tan6theta - tan2theta= tan8theta tan6theta ta...

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  16. i) If A+B=pi/4 prove that: (cotA-1)(cotB-1)=2 ii) If tan(picosthet...

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  17. Prove that : cos 20^0cos 40^0cos 60^0cos 80^0=1/(16)

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  18. Prove that sin20^(@)sin40^(@)sin80^(@)=(sqrt(3))/(8)

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  19. Prove that : (sinA+sin3A)/(cosA+cos3A)=tan2A

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  20. cos((3pi)/(4)+x)-cos((3pi)/(4)-x) = -sqrt(2)sinx

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