If sec 4x = cosec (3x - 43°), then value of x:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 19°.
If secx = cosecy, then x and y are complementary angles, i.e. x + y = 90°.
According to the given question,
4x + 3x - 43° = 90°
⇒ 7x = 133°
⇒ x = 19°