Question

If SinA = Cos A ,find the value of 2 tanA - 2 cotA

Answer 1

CH:- Trigonometry identities

formulas:-

$\tan(a) = \frac{ \sin(a) }{ \cos(a) }$

$\cot(a) = \frac{ \cos(a) }{ \sin(a) }$

${ \sin }^{2} a + { \cos}^{2} a = 1$

etc

GIVEN:-

$\sin(a) = \cos(a)$

to find:-

value of

$2 \tan(a) - 2 \cot(a)$

solñ:-

=2 tanA-2cotA

$= \frac{2 \sin(a) }{ \cos(a) } - \frac{2 \cos(a) }{ \sin(a) }$

given that sinA=cosA

$\frac{2 \cos(a) }{ \cos(a) } - \frac{2 \sin(a) }{ \sin(a) }$

=(2×1) - (2×1)

= 2-2

=0 ans