Answer:
sine and cosec are inverse of each other.
cosine and sec are inverse of each other.
tan and cot are inverse of each other.
Step-by-step explanation:
Given point on terminal side of an angle (
).
Kindly refer to the attached image for the diagram of the given point.
Let it be point A(
)
Let O be the origin i.e. (0,0)
Point B will be (
)
Now, let us consider the right angled triangle
:
Sides:

Using Pythagorean theorem:













P(LC / S) = P(S intersect LC) / P(S)
P(S intersect LC) = P(S)*P(LC / S) = 0.19 * 0.158 = 0.03
Haha, there isn't a thing that makes you 'really smart'.
However, you can grow and improve your knowledge.
The more challenging material you expose yourself to, while putting in the effort to solve them, there's no doubt you'll definitely improve!
+ you can try exercising your brain every now and then by playing trivia games or reading books- do whatever interests you and helps you learn!