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

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'

Find the value of tan70⁰13'

Find the value of
(i) sin 38⁰36' + tan 12⁰12'
(ii) tan 60⁰25' - cos 49⁰20'

Find the area of the right angled triangle with hypotenuse 5 cm and one of the acute angle is 48⁰30'