Question

if cos²theta=0.64 then find the value of sin²theta

Answer 1

Answer:

sin^2 theta =0.36

Step-by-step explanation:

cos^2theta=0.64

1-sin^2theta=0.64

1-0.64=sin^2 theta

sin^2theta=0.36

Answer 2

value  of $sin^2\Theta$ will be 0.36

Step-by-step explanation:

We have given $cos^2\Theta =0.64$

And we have to fond the value of $sin^2\Theta$

We can do this question with different methods

First method

From trigonometric identity we know that $sin^2\Theta +cos^2\Theta =1$

So $sin^2\Theta =1-cos^2\Theta$

$sin^2\Theta =1-0.64=0.36$

So value of $sin^2\Theta$ will be 0.36

Second method

We have given  $cos^2\Theta =0.64$

So $cos\Theta =0.8$

$\Theta =cos^{-1}(0.8)=36.86$

Now we can find the value of $sin\Theta$

So $sin(36.86)=0.6$

And $sin^2(36.86)=0.36$

So value  of $sin^2\Theta$ will be 0.36

So we can see that from both method value of $sin^2\Theta$ is 0.36

Learn more

https://brainly.in/question/1206794