For the measures in the figure, compute sine, cosine and tangent ratios of the angle \(\theta \)

Find the six trigonometric ratios of the angle \(\theta\) using the given diagram.

If tan A  = \(\frac { 2 }{ 3 } \) , then find all the other trigonometric ratios.

If sec \(\theta\) = \(\frac { 13 }{ 5 } \), then show that \(\frac { 2sin\theta -3cos\theta }{ 4sin\theta -9cos\theta } \) = 3

Express
(i) sin 74° in terms of cosine
(ii) tan 12° in terms of cotangent
(iii) cosec 39° in terms of secant

Evaluate:
(i) \(\frac { sin\ 49° }{ cos\ 41° } \) 
(ii) \(\frac { sec\ 63° }{ cosec\ 27° } \)

Find the values of
(i) tan7° tan23° tan60° tan67° tan83°  
(ii) \(\frac { cos35° }{ sin55° } +\frac { sin12° }{ cos78° } -\frac { cos18° }{ sin72° } \)

(i) If cosec A = sec 34⁰, then find A
(ii) If tan B = cot 47⁰, then find B.

Find the value of sin 64⁰34'.

Find the value of cos19⁰59'