Question

3 sinAis equal to 4cos A find the value of tan2A-Sec2A​

Answer 1

Answer:

1/7

Step-by-step explanation:

since we know tan2A= 2tanA/1-tan²A

and sec 2A= sec²A/2-sec²A

also given that 3sinA=4cosA

therefore tanA =4/3

and also sec A is given by

since cosA from given value=3/5

so secA=5/3

solving then

tan2A= (2*4/3)/1-(4/3)²= -24/7

and sec2A= (5/3)²/2-(5/3)²= -25/7

therefore given ques ans is. -24/7-(-25/7)= 1/7