Question

Value of 2tan53/cot 37- cot 80/2tan10

Answer 1

Answer:

${ \huge{ \underline{ \sf{ \red{Solution:}}}}}$

${ \sf{ \implies{ \frac{2tan53}{cot37} - \frac{cot80}{2tan10} }}} \\ \\ { \implies{ \sf{ \frac{2tan53}{cot(90 - 53)} - \frac{cot80}{2tan(90 - 80)} }}} \\ \\ { \implies{ \sf{ \frac{2tan53}{tan53} - \frac{cot80}{2cot80} }}} \\ \\ { \implies{ \sf{ \cancel{ \frac{2tan53}{tan53}} - { \cancel\frac{cot80}{2cot80} }}}} \\ \\ { \implies{ \sf{2 - \frac{1}{2} }}} \\ \\ { \implies{ \sf{ \frac{2 - 1}{2} }}} \\ \\ { \implies{ \sf{ \frac{1}{2} }}}$

More information:

⇒ Sin (90 - θ) = Cosθ

⇒ Cos (90 - θ) = Sinθ

⇒ Tan (90 - θ) = Cotθ

⇒ Cot (90 - θ) = Tanθ

⇒ Cosec (90 - θ) = Secθ

⇒ Sec (90 - θ) = Cosec θ