(cos 0 + sin 0)² – 1 = 2 sin Ocos0 %3D

Q: Verify that the following expression is an identity by simplifying one side of the equation to equal…

A: Given, cotx+tanx=secxcscx

Q: Write each expression as an equivalent algebraic expression involving only x. (Assume xis positive.)…

A: Given: sin2tan-1x for solving this we assume tan-1x=θ and use formula sin2x=2sinxcosx so, tanθ=x…

Q: Show that B is the inverse of A.

A:

Q: 1 (|x+y[? – |x]? – \y|*) 2

A: step:-1 Since, we know for  vector v→=v1, v2 and  u→=u1, u2…

Q: Show that cos theta/ sec theta- tan theta = 1+sin theta.

A:

Q: Evaluate cos¹3xdx. a. 0.245 b. 0.267 O b O d c. 0.229 27 d. 0.196 e. none of the choices

A:

Q: Verify that the equation is an identity. 2. tan 100- tan 100 tan 50= 2 tan 50 Which of the following…

A: We need to verify the following identity tan10θ - tan10θtan25θ = 2tan5θ Formula Used : tan2θ =…

Q: Which of the following is the correct quotient identity?

A:

Q: x - 5x – 8 For what value of r is the statement an identity? provided that x # 2 == x - 3 +

A:

Q: Simplifythe following byusing expenential form Cosh5X+ Sinh 5X

A:

Q: 67. Use Equation (4) to write the following powers of e in the form a + bi, a. eir b. e/4 c. e/2

A: Given, a) e-iπb) eiπ4c) e-iπ2eiθ=cosθ+i sinθ

Q: Now use a Pythagorean identity to simplify csc2 x - 1. 8 sin? (csc x - 1)-8 sin? (esc? x - 1) = 8…

A: Using Pythagorean identity to simplify csc2 x-1 and to find fill in the blank 8 sin2 xcsc2 x-1=8…

Q: If the integrand contains the form Vu2 a2, we can use the substitution: a sin e a sec e a tan e a…

A: for this type of integrand  :√x2−a2 we use the substitution x= a secθ which turns the the integrand…

Q: Without using a calculator, evaluate the following expressions as shown.

A: we know that tanθ=3 when θ=π3 for θ∈-π2,π2

Q: For x -values of -1,0, and 1, (x-1)(x³–x²-x + 1) = x4–1. Does this mean the equation is an dentity?…

A: We are given for x =-1, 0 and 1  (x-1)(x3-x2-x+1) = x4-1 To find if this is an identity or not?

Q: Write the expression in rectangular form, i.e., a+bi:   9(cos(90∘)+isin(90∘))=

A:

Q: Express the following in the form a + bi, where a and b are real numbers: -7=247 er:

A: The given problem is to evaluate and simplify the given complex expression and express in the form…

Q: What is an identity?

A: Given: Identity: identity is equality relating one mathematical expression A to another mathematical…

Q: Determine the inverse of A, and show that A-1A = I.

A:

Q: Verify that f has an inverse and find Cに 2x+ Cosx; Cこt

A:

Q: State the Pythagorean identities.

A: Pythagorean identities:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.