No.
The deriviative of sin2 x + cos2 x is 2 cos x - 2 sin x
Do sin(x), square it, and then multiply it by two.
To prove the identity ( \tan^2 x - \sin^2(\tan^2 x) \sin^2 x = 0 ), we start with the definitions of tangent and sine. Recall that ( \tan^2 x = \frac{\sin^2 x}{\cos^2 x} ). By substituting this into the equation and simplifying using the Pythagorean identity, we can show that both sides of the equation are equal. Thus, the identity holds true for all ( x ) where the functions are defined.
The answer is 1. sin^2 x cos^2/sin^2 x 1/cos^2 cos^2 will be cancelled =1 sin^2 also will be cancelled=1 1/1 = 1
1
Answer 1 Put simply, sine squared is sinX x sinX. However, sine is a function, so the real question must be 'what is sinx squared' or 'what is sin squared x': 'Sin(x) squared' would be sin(x^2), i.e. the 'x' is squared before performing the function sin. 'Sin squared x' would be sin^2(x) i.e. sin squared times sin squared: sin(x) x sin(x). This can also be written as (sinx)^2 but means exactly the same. Answer 2 Sine squared is sin^2(x). If the power was placed like this sin(x)^2, then the X is what is being squared. If it's sin^2(x) it's telling you they want sin(x) times sin(x).
The deriviative of sin2 x + cos2 x is 2 cos x - 2 sin x
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Sin^(2)[X] = 1 - Cos^(2)[X] It is based on Pythagorean theorem . Algebraically rearrange Sin^(2)[x] + Cos^(2)[X[ = 1^(2) = 1 Note how it looks like the Pythagorean triangle h^(2) = a^(2) + b^(2) .
Do sin(x), square it, and then multiply it by two.
To prove the identity ( \tan^2 x - \sin^2(\tan^2 x) \sin^2 x = 0 ), we start with the definitions of tangent and sine. Recall that ( \tan^2 x = \frac{\sin^2 x}{\cos^2 x} ). By substituting this into the equation and simplifying using the Pythagorean identity, we can show that both sides of the equation are equal. Thus, the identity holds true for all ( x ) where the functions are defined.
Note that an angle should always be specified - for example, 1 - cos square x. Due to the Pythagorean formula, this can be simplified as sin square x. Note that sin square x is a shortcut of (sin x) squared.
Sin squared, cos squared...you removed the x in the equation.
The answer is 1. sin^2 x cos^2/sin^2 x 1/cos^2 cos^2 will be cancelled =1 sin^2 also will be cancelled=1 1/1 = 1
2 x cosine squared x -1 which also equals cos (2x)
Cos^2 x = 1 - sin^2 x
1