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

From the given figure, find all the trigonometric ratios of angle \(\theta\)

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 2cos \(\theta\) = \(\sqrt { 3 } \), then find all the trigonometric ratios of angle \(\theta\)

If cos A = \(\frac { 3 }{ 5 } \), then find the value of \(\frac { sinA-cosA }{ 2tanA } \)

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

If cos \(\theta\) : sin\(\theta\) =1: 2, then find the value of = \(\frac { 8cos\theta -2sin\theta }{ 4cos\theta +2sin\theta } \)

From the given figure, prove that \(\theta +\phi =90°\) Also prove that there are two other right angled triangles. Find sin \(\alpha\), cos\(\beta\) and tan\(\phi \)   

A boy standing at a point O finds his kite flying at a point P with distance OP = 25 m. It is at a height of 5m from the ground. When the thread is extended by 10 m from P, it reaches a point Q. What will be the height QN of the kite from the ground? (use trigonometric ratios) 

Evaluate: 
(i) sin 30⁰ +cos 30⁰
(ii) tan 60⁰ cot 60⁰
(iii) \(\frac { tan45° }{ tan30°+tan60° } \)
(iv) sin² 45⁰ +cos² 45⁰