# trig

Write the expression and evaluate. There is only one answer whIch should match the range of the inverse trig function.

Sec^-1(-2)
Sec^-1(-sqrt2)
Tan^-1(-sqrt3)
Tan^-1(sqrt3)

1. 👍 0
2. 👎 0
3. 👁 168
1. I will do the 2nd one:

sec^-1 (-√2) = Ø , such that sec Ø = -√2
or
cos Ø = -1/√2
I know that cos 45° = 1/√2
but the cosine is negative in II and III
so Ø = 180-45° = 135°
or Ø = 180+45 = 225°

1. 👍 0
2. 👎 0
2. How did you come up with 135 being the answer? I understand what you did but you said it could also be 225, so what makes you pick 135?

1. 👍 0
2. 👎 0
3. Also doesnt the cos45 = sqrt2/2 not 1/sqrt 2?

1. 👍 0
2. 👎 0
4. yes, because sqrt2/2 = 1/sqrt2

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

Suppose that the functions r and s are defined for all real numbers x as follows. r(x)=2x-1 s(x)=6x write the expression for (r*s)(x) and (r-s)(x) and evaluate (r=s)(4)

asked by Dot on December 14, 2019
2. ### math:order of operation

TWO PART Ellen is playing a video game in which she captures butterflies. There are 3 butterflies onscreen, but the number of butterflies doubles every minute. After 4 minutes, she was able to capture 7 of the butterflies. A)LOOK

asked by Kara on February 8, 2015
3. ### Math PIZZAZZZ

how does a rodeo star get around?? well if you cant give me an answer can you help me. heres the instructions First Simplify the expression below. Then evaluate the expression for the given value or the variable. Find the

asked by Anonymous on August 27, 2009
4. ### Math

During a track meet Kelly throws the shotput 51 feet, 50 feet,and 58 feet. Write an expression that represents the length of her average throw in feet. Evaluate the expression.

asked by Valerie on August 27, 2015

write an expression for the area of this rectangle 20cm on the top 4cm on the right at the top and 8cm on the left.evaluate your expression to find the area.

asked by mahogany on September 20, 2009
1. ### Alegbra

Use properties of exponents to simplify the given expression. First express the answer in exponential form. Then evaluate the expression. 3^2 3^3=

asked by Tim on March 11, 2017
2. ### math

Evaluate the expression 6^-2 x 4^0. a)12 b)48 c)1/36 d)36 Write 3^2 x 3^-3 x 3^6 as a single exponent. a)3^4 b)3^5 c)3^11 d)27^5

asked by victoria on October 22, 2013
3. ### MATH URGENT

Write the calculator key sequence you would use to evaluate each expression. Then evaluate. A.) (1-3)^4/4 B.) (-2)^0+4*17^0 C.) 16-9 (2^3)+(-4)^2 Thank you and I pleeeeese explain how to do this

asked by SPIKE on January 8, 2013
4. ### math

A hiking club charges an initial fee of \$60 and then \$12 for each hiking trip. Write an expression to model the total cost and then evaluate the expression for 4 hikes.

asked by rona on February 24, 2015
5. ### maths

A hockey match is played from 3 p.m. to 5 p.m. A man arrives late for the match. What is the probability that he misses the only goal of the match which is scored at the 20th minute of the match?

asked by Anonymous on October 22, 2014
6. ### Simplify Practice.

Write the difference 30 – (–12) as a sum, then simplify. Evaluate the following expression. Show all steps. 18 + 6m for m = 2

asked by Anonymous on September 27, 2014