Create a serene study scene where a student is working on mathematical problems related to inverse trigonometric functions. There should be a notebook on a wooden desk with sketches and notes pertaining to the functions sin^-1 and tan^-1. The room should have a calming ambiance with soft lighting, and a cup of coffee or tea should be present on the desk as well. The student can be of any descent and gender and should appear thoughtful and determined but also slightly stuck, reflecting the sense of challenge invoked by the task at hand.

Find the values of the inverse function in radians.

sin^-1(0.65)

a. 0.71+2pi n and -0.71+2pi n
b. 0.71+2pi n and -3.85+2pi n
c. 0.86+2pi n and -0.86 +2pi n
d. -0.61+2pi n and 2.54+2pi n

2. tan^-1(0.09)

a.-0.09+2pi n
b. no such angle exists
c.-1.48+ pi n
d. -0.09+ pi n

I've been stuck on these two for such a long time. I think the first one is a. I don't know about the second one. I feel like it's b, if not, then either a or d... I can't seem to figure it out anymore

22 answers Show only top 10 answers

b

a
b
c
b
c
a
a
a
b
a

100 solving trigonometric equations using inverses quiz <3

1. b) -0.36
2. a) -2
3. b) 1
4. c) tan^2 theta = sin^2...
5. b) 60°
6. c) 60°
7. a) 0.71
8. a) -0.09
9. a) 2pi/3, 4pi/3
10. b) pi/4, 5pi/4
11 a) cos theta = 16/20
please use these to check your answers (dont cheat lmao)

unit 7 lesson 9 quiz 1, angry man 100% correct for Algebra 1 connexus

May 2021 100%

#1

the solutions from 0 to 2π
would be .71 and π - .71
or .71 and 2.43

so I was expecting to see:
.71 + 2π , 2.43 + 2π

I don't see that, but when n = 0 , the first part of the solution should work
e.g. sin(-.71) ≠ .65 , so not A
sin *.86) ≠ .65, not C
sin (-.61) ≠ .65, not D
that leaves B.
notice when n = -1
2.43-2π = -3.85 <--- a 2nd quadrant angle

the correct choice is B

What a poor way to state the answer!!

#2
tan^-1 (.09) = .089 or π + .089
= .089 or 3.23
So my solution would be
.089 + π, 3.23 + π
again, this is not shown, so are they being sneaky again??
clearly B is wrong, since I found answers
tan(-.09) = -.09 , so NOT A
tan(-1.48) = -10.98 , so NOT C

bogus question!

Still correct in 2022

angry man is still correct!! thank you so much!!

Angry man.. Buddy.... U r a god send <3

ILY

Moss is correct

100% (Angry Man) In May 2022

Moss is correct for me toooooo

2. tan^-1(-0.09)

the answer would be D believe it or not -0.09+ pi(n)
the first question is correct however the answer would be B
0.71+2 pi (n) and -3.85+ 2 pi (n)
apologies for the confusing writing I don’t have the pi symbol on hand.
(the answers are verified and correct)

Find the values of the inverse function in radians.

b

100

solving trigonometric equations using inverses quiz <3

unit 7 lesson 9 quiz 1, angry man 100% correct for Algebra 1 connexus

May 2021 100%

#1

Still correct in 2022

angry man is still correct!! thank you so much!!

Angry man.. Buddy.... U r a god send <3

Moss is correct

100% (Angry Man) In May 2022

Moss is correct for me toooooo

2. tan^-1(-0.09)

Still good

still good

Oh my god 12 minutes ago

Thanks angryman and moss

Is this the new jiskha?

still good!!! you're a lifesaver :]

GOOD!

If D is the choice , then when n = 0, we get

Nevermind, the answers were b and d:/