## Trigonometry 7th Edition

Required trigonometric functions are- $\sin A = \frac{1}{\sqrt 2}$ , $\\csc A = \sqrt 2$ $\\cos A = \frac{1}{\sqrt 2}$ , $\\sec A = \sqrt 2$ $\\tan A = 1$ , $\\\cot A = 1$
Steps to answer- With the help of given diagram of triangle ABC, we will use the given information and Pythagoras Theorem to solve for 'c'- $c^{2} =a^{2} + b^{2}$ ( Pythagoras Theorem) $c^{2} =1^{2} + 1^{2}$ $c^{2} = 1 + 1$ $c^{2} = 2$ therefore $c = \sqrt 2$ Now we can write the required six T-functions of A using a = 1, b=1 and $c = \sqrt 2$ $\sin A = \frac{a}{c} = \frac{1}{\sqrt 2}$ $\\csc A = \frac{c}{a} = \frac{\sqrt 2}{1}$ = $\sqrt 2$ $\\cos A = \frac{b}{c} =\frac{1}{\sqrt 2}$ $\\sec A = \frac{c}{b} = \frac{\sqrt 2}{1}$ = $\sqrt 2$ $\\tan A = \frac{a}{b} = \frac{1}{1}$ = 1 $\\\cot A = \frac{b}{a} = \frac{1}{1}$ = 1