What derivative is Sinxcosx?

Answer: The derivative of sin x cos x is cos2x – sin2x, that is, cos 2x. Let’s understand how we arrived at the solution. Explanation: The derivative of sin x cos x can be found by using the product rule of derivatives.

How do you find the maximum value of Sinx COSX?

Splitting 2 into $\sqrt{2}\times \sqrt{2}$ we get, $f\left( \dfrac{3\pi }{4} \right)=\dfrac{\sqrt{2}\times \sqrt{2}}{\sqrt{2}}=\sqrt{2}$. Hence the maximum value of sinx-cosx is $\sqrt{2}$. So, the correct answer is “Option A”.

Is integral of Sinxcosx defined?

Integral of sin x cos x can be determined using the sin 2x formula, and substitution method. ∫ sin x cos x dx = (-1/2) cos2x + C [When evaluated by substituting cos x] ∫ sin x cos x dx = (1/2) sin2x + C [When evaluated by substituting sin x]

What is the maximum value of sinx * COSX?

Prove that the maximum value of sinx+cosx is 2 .

What is the formula to find the value of sin(π/2 – X)?

Cofunctions Identities sin(π/2 – X) = cosX cos(π/2 – X) = sinX tan(π/2 – X) = cotX cot(π/2 – X) = tanX sec(π/2 – X) = cscX csc(π/2 – X) = secX Addition Formulas

What is the formula for double angle sin 2x?

Double Angle Formulas sin (2X) = 2 sinX cosX cos (2X) = 1 – 2sin 2 X = 2cos 2 X – 1 tan (2X) = 2tanX / [ 1 – tan 2 X ]

How do you find Cos and Tanan in trigonometry?

tan X = b / a , cot X = a / b. cos X = a / r , sec X = r / a. Special Triangles Special triangles may be used to find trigonometric functions of special angles: 30, 45 and 60 degress. Sine and Cosine Laws in Triangles In any triangle we have: 1 – The sine law.

What are the sine and cosine laws in triangles?

Sine and Cosine Laws in Triangles In any triangle we have: 1 – The sine law sin A / a = sin B / b = sin C / c 2 – The cosine laws a2= b2+ c2- 2 b c cos A b2= a2+ c2- 2 a c cos B c2= a2+ b2- 2 a b cos C Relations Between Trigonometric Functions