Give the exact values of each of the following:  tan(30^∘)=    tan(45^∘)=    tan(60^∘)=

Q: Find F if del-F = (2xy, (x^2 + 20y^3))

A: We have to find out

Q: cos(2tan^-1 (1/5)) Evaulate the expression without using a calculator. *the -1 is attached to the…

A: 2 tan-1(x) =cos-11-x21+x2 coscos-1x=x

Q: Find the value of a a^1/3=4

A:

Q: find the inverse f^-1(x) = 1/x-1, and state the domain.

A: Given function is f(x)=1x-1 To find the inverse function of f(x) , we set y=f(x) and solve the…

Q: Explain two applications of 2 examples of periodic functions that exist in everyday life.

A: Periodic function - It describes any phenomenon that involves repetitive behavior at regular…

Q: If i=(-1) then i^25= ...

A:

Q: Sketch the graph of the given function in the interval (-5,5) and then determine the x-intercepts,…

A: Periodicity of tan2πx6-3:  6Domain of  tan2πx6-3 :  Solution:  6n≤ x<3+6n  or   3+6n<x<6+6n…

Q: pimplicit derivativeg

A: we have to find the derivative of the given implicit function

Q: Use implicit differentiation to find and . 2 - y? + 2 - 22 = 4

A: Given,            x2-y2+z2-2z=4

Q: x'-3x+5 3) y= x² +1

A:

Q: Put the function P=10(3.6)^t in the form P_0e^(kt). When written in this form, you have: k = ? P_0…

A:

Q: Find the general solution of cosec^2=2 with diagram

A: To find the general solution of the equation csc2θ=2, we need to follow these steps: Rewrite the…

Q: Use LOGARITHMIC differentiation to differentiate the function Simplify where necessary

A:

Q: (3х — 5) dx а. х3-5х2-14х

A:

Q: Sketch y=(9-x^2)^1/2

A: We need to sketch the function, y=9-x212

Q: Derive the formula for the derivative of the inverse cotangent function. Please show all step

A:

Q: Find inverse function of (a) y = - x^2 (b) y = 3 - 2x

A:

Q: Find FSI = ? Fn = 15 -55 2 V5

A:

Q: sec 26 (degrees) =    *round to 2 decimal places.

A: The given problem is, sec26°

Q: 0) V (1

A: Given                   (1∧0)∨(1∧1)=

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.