What are the greatest and least value of Sinx COSX?

Maximum value is 1/2 and minimum value is -1/2.

What is the greatest value of sin Cos?

Hence, the greatest and least values are 1/2 and -1/2 respectively.

What is the minimum value of the function sinx cosx?

-1
The minimum value of sinx is -1 and the minimum value of y is -√2.

Is COSX greater than sinx?

Since 1>. 84, the max of cos(sin x) is greater than -sin (cos x) and since the two functions never intersect because sin x = cos x =1/root2 only when x=pi/4 then cos(sin x) > -sin (cos x) for all values of x.

How do you differentiate sinx from COSX?

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.

What is the lowest value of sin?

The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1.

What is the difference between COSX and Sinx?

The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.

What is the maximum value of sin x + cos x?

The maximum value of Sin x + cos x is The maximum value of 3 Sin x – 4 Cos x is Min Max values of sin 4x + 5 are Minimum and maximum value of Sin Sin x is

What is the value of sin 2 θ + cos2 θ?

We know that sin 2 θ + cos 2 θ = 1 (identitiy#1) (sin2 θ + cos2 θ) + sec 2 θ + cosec 2 θ + tan 2 θ + cot 2 θ = (1) + sec 2 θ + cosec 2 θ + tan 2 θ + cot 2 θ Using A.M ≥ G.M logic for tan 2 θ + cot 2 θ we get , = 1 + 2 + sec 2 θ + cosec 2 θ

What is the greatest value of sin x from 45 to 90?

Maths keeps one mentally active. values of x from 45 to 90, cos x < sin x. At x = 45, cos x = sin x. Greatest value of sin x = 1.0 is when x = 90 deg and the greatest value of cos x = 1.0 is when x = 0 deg.

How to find min value of sin θ + cosec θ?

Sometimes, we come across a special case of trigonometric identities like to find min. value of sin θ + cosec θ or tan θ + cot θ or cos2 θ + sec2 θ etc. These identities have one thing in common i.e., the first trigonometric term is opposite of the second term or vice-versa ( tan θ = 1/ cot θ , sin θ = 1/ cosec θ , cos2 θ = 1/ sec2 θ ).