Question

9casA+12sinA=15 Than CotA=?

Answer 1

Answer:

3/4

Step-by-step explanation:

9CosA + 12SinA = 15

Divide by 3 the whole equation

=> 3CosA + 4SinA = 5

Divide by SinA on both Sides

3CosA/SinA + 4SinA/SinA = 5/SinA

3 CotA + 4 = 5CosecA

Now square on both Sides.

=> (3 CotA + 4) ²= (5CosecA)²

=> 9Cot²A + 24CotA+16 = 25Cosec²A

=> 25Cosec²A - 9Cot²A - 24CotA - 16 = 0

=> 25(1+Cot²A) - 9Cot²A - 24CotA - 16 = 0

=> 16Cot²A - 24CotA + 9 = 0

=> (4CotA - 3)² =0

=> 4CotA - 3 = 0

=> CotA = 3/4