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Find the value of tanA+tanB+tanC, if A+B+C=π?

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Important Questions on Trigonometry

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Find B and C of a triangle ABC, if b=2 cm,c=1 cm and A=60° :
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In a triangle ABC,a=1 cm,b=3 cm and C=π6 , find the third side of the triangle:
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If a=2 b and A=3 B, find the  A, B, C angles of ABC.
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In a right angled triangle  a2+b2+c2 is :
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Abhinav and Brijesh started walking simultaneously @ 3 km/h and 4 km/hfrom the same point 'C ' on two different paths which diverge from each other at an angle of 120°. They walked for 6 hours and they stopped at A and B respectively. What is the least possible distance between Abhinav and Brijesh when they are at A and B respectively.
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A round balloon of radius ' r ' subtends an angle α at the eye of the observer, while the angle of elevation of its centre is β. Find the height of the centre of balloon.
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At the foot of a mountain the angle of elevation of its summit is 45° after ascending 1000 m towards the mountain up a slope of 30°inclination, the angle of elevation is found to be 60° . Find the height of the mountain.
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A palm tree 90ft high, is broken by the wind and its upper part meet the ground at an angle of 30°. Find the distance of the point where the top of the tree meets the, ground, from its root: