From the given figure, find all the trigonometric ratios of angle B.

From the given figure, find the values of 
(i) sin B
(ii) sec B
(iii) cot B  
(iv) cos C
(v) tan C
(vi) cosec C

If cos A = \(\frac { 2x }{ 1+{ x }^{ 2 } } \) then find the values of sinA and tan A in terms of x.

If sin \(\theta\)  = \(\frac { a }{ \sqrt { { a }^{ 2 }+{ b }^{ 2 } } } \) then show that b sin \(\theta\) = a cos \(\theta\)

Verify 3 cos A = 4 cos³ A - 3 cosA , when A = 30⁰

Find the value of 8 sin 2x cos 4x sin 6x , when x =15⁰

Find the value of \(\theta\) if
(i) sin \(\theta\) = 0.9975
(ii) cos \(\theta\) = 0.6763
(iii) tan \(\theta\) = 0.0720
(iv) cos \(\theta\) = 0.0410
(v) tan \(\theta\) = 7.5958

Find the area of a right triangle whose hypotenuse is 10cm and one of the acute angle is 24⁰24'

Find the angle made by a ladder of length 5m with the ground, if one of its end is 4 m away from the wall and the other end is on the wall.

If 3 cot\(\theta\) = 1, then find the value of  \(\cfrac { 3cos\theta -4sin\theta }{ 5sin\theta +4cos\theta } \)

If sin\(\theta\) = \(\cfrac { a }{ \sqrt { \left( { a }^{ 2 }+{ b }^{ 2 }+{ c }^{ 2 }+2bc \right) } } \), then show that (b + c) sin \(\theta\) = (a) cos \(\theta\)

If 3 (tan \(\theta\)) + 4 (sec \(\theta\) \(\times\) sin 6) = 24. Then find all the trigonometric ratios of the angle \(\theta\)

Find the value of cot 15°. cot 30°. cot 45°. cot 60°. cot 75°

Find the value of \(\frac{\tan 25^{\circ}}{\cot 65^{\circ}}+\frac{\sin 40^{\circ}}{\cos 50^{\circ}}\)

Find the value of \(\cfrac { cos{ 63 }^{ 0 }20' }{ sin{ 26 }^{ 0 }40' } \)