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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
- If 0 lt x lt pi and sin x+ sin^(2) x+ sin^(3)x=1, find the minimu valu...
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- If 0 le theta lt (pi)/(2) and cos theta+ cos^(2) theta+ cos^(3) theta=...
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- If p sin (alpha+ beta)= cos (alpha-beta), then show that (1)/(1- p si...
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- If (x)/(a) cos theta+(y)/(b) sin theta=1 and x sin theta- y cos theta=...
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- If cot x=(a+a^(3)+a^(3))^((1)/(2)), cot y=(1+ a+ a^(-1))^((1)/(2)) and...
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- Show that : (1)/(cos alpha- cos3 alpha)+(1)/(cos alpha- cos5 alpha)+...
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- If cos alpha=(sin y)/(sinx), cos beta= (sinz)/(sin x) and cos (alpha- ...
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- Show that the value of (tan x+ 2 tan2x)/(tanx) cannot lie within 1 and...
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- If alpha+ beta=(pi)/(3)(alpha gt 0 , beta gt 0) find the maximum value...
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- Solve sqrt(2 cos^(2)x+1)+ sqrt(2 sin^(2)x+1)=2 sqrt(2)
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- If tan alpha= x tan beta (x gt0), show that tan^(2)(alpha- beta) le ((...
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- Prove that cos theta(sin theta +-sqrt(sin^(2) theta+ sin^(2) alpha)) a...
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- If cos^(2) theta=(a^(2)-1)/(3) and "tan"^(2) (theta)/(2)= tan^((2)/(3)...
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- Prove that "cos"^(8) (pi)/(8)+ "cos"^8 (3pi)/(8)+"cos"^(8) (5pi)/(8)+"...
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- Prove that cos^(2)40^(@)cos^(2)80^(@)+cos^(2)80^(@)cos^(2)20^(@)+cos^(...
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- If x+a= a(2 cos theta-cos 2 theta) and y= a(2 sin theta- sin 2 theta),...
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- Show that the value of tan (theta+(pi)/(6)) cot( theta-(pi)/(6)) canno...
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- In a triangle of base a, the ratio of the other two sides is r (lt 1)....
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- In an acute angled triangle ABC, prove that tan^(2)a+tan^(2)B+tan^(2) ...
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- Given sin alpha+ cos alpha+tan alpha+ cot alpha+ sec alpha=7, find th...
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