The number of real solutions of the equation 1 + cos 2 x = 2 cos − 1 ( cos x) in [ π 2, π] is: Q5. The differential coefficient of tan-1 ( 2 x 1 − x 2 ) with respect to sin-1 ( 2 x 1 + x 2) is equal to. Q6. The value of tan ( cos − 1 3 5 + tan − 1 1 4) is. Q7. Step by step video, text & image solution for Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the maximum and minimum values of f(x) is by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. Sine, Cosine and Tangent are all based on a Right-Angled Triangle. They are very similar functions so we will look at the Sine Function and then Inverse Sine to learn what it is all about. Sine Function. The Sine of angle θ is: the length of the side Opposite angle θ; divided by the length of the Hypotenuse; Or more simply: sin(θ Examples on Derivative of Sin Inverse x. Example 1: Use the derivative of sin inverse x formula to determine the derivative of sin -1 (x 3 ). Solution: The derivative of sin inverse x is 1/√ (1-x 2 ), where -1 < x < 1. To determine the derivative of sin -1 (x 3 ), we will use the chain rule method. 1. Sine, #sintheta# 2. Cosine, #costheta# 3. Tangent, #tantheta# 4. Cotangent, #cottheta# 5. Secant, #sectheta# 6. Cosecant, #csctheta# Take the following triangle for example: Let the angle marked at A be #theta#. The longest side of the triangle is the hypotenuse, the side next to the angle is the adjacent and the side opposite to it is the In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse ), and the cosine is NJSYi3L.
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