1. Verify that the following equations are the identity csc2 (-x) tan(x) cot(-a) - sec2 (r) a. %3D |

Q: If x > 0, write sec(tan-1 x) as an algebraic expression in x.

A: Now let

Q: Write sin(3x) cos(7x) as a sum of trigonometric functions.

A: Given trigonometric function is  sin3x cos7x. Write the sin3x cos7x as a sum of trigonometric…

Q: Describe the relationship between the graphs of y = A cos(Bx - C) and y = A cos(Bx - C) + D.

A:

Q: cos u= 3/4. Evaluate tan v

A:

Q: Find an alternative form in terms of x for each of cos(sin- 1 x) and tan(sin- 1 x).

A: Let us make a triangle with opposite = x and hypotenuse=1 , because sin theta= opposite/hypotenuse…

Q: verify the identity tan(x/2) + cot(x/2) = 2 csc x

A:

Q: Simplify. cos(-4x) · cos 2x – sin(-4x) · sin 2x cos(-2x_ sin(-6x) cos(-3x) cos(-x)

A: Using Cos(A+B) formula

Q: is cos x = 1/sec x an identity

A:

Q: What is the meaning of the notation y = tan-1 x?

A: Given: y=tan-1x We know the meaning of following notation: sin-1x sine inverse x cos-1x cosine…

Q: Verify that it is an identity  (1-sec/tan)+(tan/1-sec)=-2csc

A: We will simplify left side and make it equal to right side

Q: simplify: csc(x)-cos(x)cot(x)

A: simplify: cscx-cosxcotx

Q: Manipulate In|sec x + tan x|| so that it is expressed as a difference of logs.

A:

Q: Use the substitution t= tan to show that secx+ tanx = tan (4+3). %3D

A: We have to prove using substitution t=tan(x/2).

Q: Create a left side right side check for the following equation, cos(x) / 1-sin(x)+cos(x) / 1+sin(x)=…

A:

Q: Simplify the lefthandside so that LHS = RHS: sin (b) sin (b) 1 + cos(b) || || || || 2 tan(b) 1…

A: Topic - Trigonometry We are given sin(b)1+cos(b)-sin(b)1-cos(b)=-2tan(b) (a+b)(a-b)=a2-b2

Q: find x sin-1(1-x)-2sin-1x=90 degree

A: sin-1(1-x)-2sin-1x=90 degree