Question

tan225°×cot405°+tan765°=2​

Answer 1

Answer:

ok here ans

Step-by-step explanation:

tan(225°)cot(405°) + tan(765°)cot(675°)

= tan(45)cot(45) + tan(45)cot(45)

....sin(45)........ cos(45)....... sin(45) ...... cos(45)

= ---------------*--------------- + ------------ * ------------

.....cos(45)....... sin(45)........ cos(45)...... sin(45)

....-1/√(2)....... 1/√(2)............ 1/√(2)........ 1/√(2)

=- ----------- * ------------- + --------------- *- ------------

... -1/√(2)....... 1/√(2)......... 1/√(2)......... 1/√(2)

= 1 * 1 + 1 *- 1

= 1 + (- 1)

= 0 prove//