Question

If tanA=0.2 then sin2A= ?​

Answer 1

Answer:

is that 0.4

Step-by-step explanation:

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Answer 2

Given : Value of tanA = 0.2

To find : The value of sin2A

Solution :

The value of sin2A is approximately 0.385

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to find the value of sin2A with the available data)

Here, we will be using general trigonometric formulas.

First of all, we have to calculate the value of tan²A.

Now,

tan A = 0.2

tan²A = (0.2)² [Squaring both sides]

tan²A = 0.04

We know that,

sin2A = (2tan A)/(1 + tan²A)

sin2A = (2 × 0.2)/(1 + 0.04)

sin2A = 0.4/1.04

sin2A = 0.385 (approx.)

(This will be considered as the final result.)

Used formula :

• sin2A = (2tan A)/(1 + tan²A)

Hence, value of sin2A is approximately 0.385