Question

4. Find the value of cos 37°cosec 53°​

Answer 1

Answer:

hey frnd here is your answer

Step-by-step explanation:

• cos 37°=4/5

• cosec 53°=5/4

• so cos37°×cosec 53°

• (4/5)(5/4)

• 1

So your final answer is 1.

thanks for asking

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Answer 2

Given : The given mathematical problem is , cos 37° cosec 53°

To find : The answer to the given mathematical problem.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the answer to the given mathematical problem)

Here, we will be using general trigonometric identities.

So,

$= \cos(37°) \times cosec(53°)$

$= \cos(37°) \times \frac{1}{ \sin(53°) }$

$= \cos(37°) \times \frac{1}{ \sin(90° - 37°) }$

$= \cos(37°) \times \frac{1}{ \cos(37°) }$

$= 1$

(This will be considered as the final result of the given mathematical problem.)

Used identity :

• cosec θ = $\frac{1}{ \sinθ }$
• sin (90° - θ) = cos θ

Hence, the answer is 1