Inverse Trigonometric functions Questions

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Inverse Trigonometric functions

Question Use a calculator to solve the following equation for 0 on the interval [-90°, 90°). a csc (0) = -1.761 Round to one decimal place. Provide your answer below: 0 = FEEDBACK MORE INSTRUCTION SUBMIT Content attribution

Math

Inverse Trigonometric functions

Find the exact value of the following, without using a calculator -1 sin + (sin -- (+ tan-1-5 9 -4-5) sin sin-" (). 4-5)-0 ( + tan (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators.)

Math

Inverse Trigonometric functions

Give the exact value of the expression without using a calculator. 3 COS -1 tan AW 15 -1 tan 8 COS tan -1 3 15 tan 8 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Math

Inverse Trigonometric functions

Give the degree measure of O if it exists. Do not use a calculator. 0 = arccos(-1) Select the correct choice below and fill in any answer boxes in your choice. o O )° A. 0= arccos( - 1) = (Type your answer in degrees.) OB. arccos(-1) does not exist

Math

Inverse Trigonometric functions

Find the following by locating the angle on the unit circle and replacing cos( 117) or sin( 11T) by cos(©) or sin(B) for some 0 € (0, 1) or B € (5,1). (wow, these directions could use some work) 117 cos(cos( 10 a -l( == sin (sin(137) 11

Math

Inverse Trigonometric functions

The answer above is NOT correct. Solve for the missing angle: the angles are given in degrees, despite the lack of a degree sign sin(47) sin(B) 18 17 ZB= I Enter your answer as a decimal value. • You must be accurate to at least 3 decimal places. . Note that for these problems, we are using degrees to measure angles. Make sure your calculator is set to degrees instead of radians. Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 3 times. You received a score of 0% for this attempt. Your overall recorded score is 0%. You have unlimited attempts remaining. Ask For Help

Math

Inverse Trigonometric functions

T'(X) 1 +4² 1 + (x – 8)2 1 + x2 = 1 + (x - 3)? 1 + x2 = 1 + (x2 - 16 16 x + 64 64) 0 = -16 -16 x + 64 64 x = 4 Step 3 Substitute x = 4 in the function f(x) = arctan x - arctan(x – 8). (Round your final answer to three decin places.) f(4) = arctan arctan 8) f(4) = arctan 4 - arctan Recall that arctan- = - arctan , therefore, f(4) = arctan 4? arctan f(4) = arctan 4 f(4) = Submit Skip (you cannot come back)

Math

Inverse Trigonometric functions

Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n = 4. Compare these results with the approximation of the integral using a graphing utility. (Round your answers to three decimal places.) xsin x dx 1/2 Trapezoidal Simpson's Graphing utility 1.1619 x 1.2155 X

Math

Inverse Trigonometric functions

Find the exact value of the real number y if it exists. Do not use a calculator. y=sin (-1) .. Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. y=sin -2(-1)= (Simplify your answer. Type an exact answer, using n as needed. Use integers or fractions for any numbers in the expression.) B. sin - (-1) does not exist.

Math

Inverse Trigonometric functions

I.LVIEW upu 8 Re Question 9 of 15, Step 1 of 1 ANGEL THOMAS Express the following as an algebraic function of .x. 6/15 Correct cos(cos-l(21) + sin-'(20)) Answer X Kapad Keyboard Shah L] <> o 3 A ( ) cot (3)

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Inverse Trigonometric functions

Output 100 90 80 70 + 60+ SO 40 30 20+ 10 1 2 3 4 5 6 7 8 Workers Referring to the figure, as the number of workers increases, O A. marginal product increases but at a decreasing rate. B. marginal product increases at an increasing rate. O C. total output increases but at a decreasing rate. D. total output decreases. Reset Selection

Math

Inverse Trigonometric functions

12. [4/7 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 5.4.050.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. TT f(x) = cos(x), [:) 3 Step 1 Recall that the Mean Value Theorem is stated as follows. If fis continuous on the closed interval [a, b], then there exists a number c in the closed interval [a, b] such b that * S** f(x) dx = f(c)(b - a). In terms of area, this means there is a rectangle with side lengths f(c) and (b - a) that has the same area as found by f(x) dx. We are given the function f(x) = cos(x) and the interval 3 3 The function f(x) is is continuous on the given interval. Therefore, we must find the value of c in - [- that makes the following equation true. 3 3 2/3 L cos(x) dx = cos(c)( /3 3 cols Step 2 We will first evaluate the given integral. #/3 1/3 (cos(x)) dx = 1/3 (sin(x)] - 1/3 NT = sin - in(-) w = Step 3 We have evaluated the given definite integral. Substitute this value on the left side of the equation and then solve for f(x) = cos(c) in the Mean Value Theorem. 1/3 (cos(x)) dx = cos(c) #/3 * = cos(1)-(-) V3 - costil-(-3) V3 = cos(c)( V3 27 3 0.5973 3V3 27 = cos(C) Step 4 Solve for c. Use inverse trigonometric functions to find the value of c guaranteed by the Mean Value Theorem for the function over the given interval. (Round your answers to four decimal places. Enter your answer as a comma-separated list.) 313 cos(C) 21 = arccos(cos(c)) = arccos cos(325) C = 89.1729,270.8271 X Submit Skip (you cannot be