Question

sec A. cosec A. cot A is equivalent to:

Answer 1

secA cosecA cotA = (1/sinA cos A)CosA/SinA

=1/sin^2 A=cosec^2A

Answer 2

Answer: - 1/Sin²A OR Cosec²A.

Detailed solution: -

Given: -

The problem given is - sec A. cosec A. cot A

We need to find the value that is equivalent to sec A. cosec A. cot A

Therefore,

• To find the equivalent to sec A. cosec A. cot A, we will use the trigonometry identities.

Therefore,

Sec A = $\frac{1}{Cos A}$

Cosec A = $\frac{1}{SinA}$

Cot A = $\frac{1}{Tan A}$ = $\frac{CosA}{SinA}$

Now,

Putting the above-mentioned identities of the trigonometry in the given problem sec A. cosec A. cot A, we will get,

sec A. cosec A. cot A

= $\frac{1}{CosA}*\frac{1}{SinA}*\frac{CosA}{SinA}$

(The denominator Cos A will be cancelled with the numerator Cos A and Sin A will be multiplied with Sin A written as a denominator)

= $\frac{1}{Sin^{2} A}$

OR

= Cosec²A (as the value of $1/Sin^2A$ = Cosec²A)

Explanation: -

• Trigonometry is a branch of mathematics.
• It helps in solving the problems dealing with angles and the sides of the triangles according to the functions of the angles given.
• Whenever we need to solve any Trigonometry sums or problems, we need to put the value of the thetas (θ).
• We can need to use the trigonometry identities to solve a problem dealing with angles as well as with the sides of the triangles.

To know more about the topic, visit the below links: -

brainly.in/question/7986927

https://brainly.in/question/1444251

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