5) If 3 Cosa = - n < a <, find the exact values of tan- a »> 1

Q: If /3tan0=3sin0,find the value of sin*0-cos²0

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Q: sec 0 tan 0 Establish the identity = sin 0 1+ tan? 0

A:

Q: Verify identity (csc x - cot x)2 =(1 - cos x)/(1 + cos x).

A: The given identity is csc x-cot x2 =1-cos x1 + cos x

Q: Look at the graph of y = tanx. For y = tanx, as x --> π-/2, y --> ? For y = tanx, as x --> π+/2, y…

A: Given

Q: 8.) k(x)=-2 tan(2(x+)) Period = Increment =

A: Given function is: kx=-2tan2x+π8 Then the period of this function is 2π2=π. The increment is π8.

Q: sin 0+ sin 0 tan 0 = tan 0 - sece

A:

Q: given that sin(x-A)=2cos(x+A) Show that tan x= 2tanA/1+2tanA

A: Formula used:

Q: Assume a is positive, find cos(tan-) (show your work)

A: Given, x is positive To find cos(tan-1x)

Q: 7. Verify the following: (sec0 + csc®)(cos0 – sin0) = cot0 – tan0

A:

Q: sketching y = 2 – tan(,")

A: Given query is to find the value of a, b, c, k and the period.

Q: 46. What are the advantages to using the formula a_1- cosa tan 2 sina or tan as opposed to sina 1 +…

A: To obtain the formula for the tan half-angle, write tan x as sin xcos x and then substitute the…

Q: 16. If 0 = arcsin x, express tan 0 in terms of x.

A:

Q: Let x= 2 tan theta, 0 less than or equal to theta < pi/2  simplify the expression  1/x^2…

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Q: sin 0(1 + tan 0) tan 0(sin0 +cos0)

A:

Q: 6) Verify tan x + cot x = sin(2x)

A: Simplification

Q: tantx + CosX-Stcx = SeC %3D COSX

A:

Q: Prove the identities A. Tax/secx-1=secx+1/tanx B. 1-sinx/sinx=cot^2x/1+cscx

A: