Question

if tan A=4 then sin 2A=​

Answer 1

Answer:

2A=8

Step-by-step explanation:

because, A=4

2A=2×4

=8

Answer 2

If tan A = 4, then sin 2A will be equal to 8/17

Step-by-step Explanation

Given:

• $tanA=4$

To FInd:

To find the value of sin(2A).

Formula Used:

The formula used to calculate sin(2A) is given as,

$sin2A=\frac{2tanA}{1+tan^{2}A }$

Solution:

It is given that, $tanA=4$ ------(1)

So, squaring (1), we get

$(tanA)^{2} =4^{2} \\\implies tan^{2} A=16$  -------(2)

Next, we can find the value of sin(2A) using the formula,

$sin2A=\frac{2tanA}{1+tan^{2}A }$   -------(3)

Substituting the values of (1) and (2) in (3), we get

$sin2A=\frac{2(4)}{1+16 }$

Simplifying, we get

$sin2A=\frac{8}{17}$

Therefore, if tan A = 4, then the value of sin 2A is equal to $\frac{8}{17}$

#SPJ2