Question

Find the value of secA/cotA+tanA

Answer 1

$\huge{\textsf{\underline{\underline{SOLUTION:-}}}}$

$\frac{ \sec(a) }{ \cot(a) + \tan(a) }$

$\frac{ \frac{1}{ \cos(a) } }{ \frac{ \frac{}{ \cos(a) } }{ \sin(a) } + \frac{ \sin(a) }{ \cos(a) } }$

$\frac{ \frac{1}{ \cos(a) } }{ \frac{ \cos( {a}^{2} ) + \sin( {a}^{2} ) } { \sin(a) \cos(a) } }$

$\frac{ \frac{1}{ \cos(a) } }{ \frac{1}{ \sin(a) \cos(a) } }$

$\sin(a)$

$\huge{\texttt{STEPS:-}}$

1)Firstly , transform the expressions

2)Write all numerators above the common denominator

3)Simplify the expression

4)Simplify the fraction

5)Final solution is sin(a)

6) Here 'a' is 'A' in the solution

Answer 2

Answer:

cot(a)+tan(a)

sec(a)

\frac{ \frac{1}{ \cos(a) } }{ \frac{ \frac{}{ \cos(a) } }{ \sin(a) } + \frac{ \sin(a) }{ \cos(a) } }

sin(a)

cos(a)

+

cos(a)

sin(a)

cos(a)

1

\frac{ \frac{1}{ \cos(a) } }{ \frac{ \cos( {a}^{2} ) + \sin( {a}^{2} ) } { \sin(a) \cos(a) } }

sin(a)cos(a)

cos(a

2

)+sin(a

2

)

cos(a)

1

\frac{ \frac{1}{ \cos(a) } }{ \frac{1}{ \sin(a) \cos(a) } }

sin(a)cos(a)

1

cos(a)

1

\sin(a)sin(a)