Chapter 7: Q. 8 (page 504)

Use a calculator to evaluate the expression. Express angles in radians rounded to two decimal places.
$s e c^{- 1} (1.4)$

Short Answer

Expert verified

On evaluating the expression, we get $0.78$ .

Step by step solution

Step 1. Given information.

Consider the given question,

$s e c^{- 1} (1.4)$

Assume $θ = s e c^{- 1} (1.4)$ .

Then,

role="math" localid="1646512392495"

θ = s e c^{- 1} (1.4) s e c θ = 1.4

Use the reciprocal property,

role="math" localid="1646514205969" $s e c θ = \frac{1}{\cos θ} \frac{1}{\cos θ} = 1.4$

Step 2. Convert into radians.

Continuing the above equation,

$\cos θ = \frac{1}{1.4} θ = \cos^{- 1} (\frac{1}{1.4}) θ = 44.41$

Converting into radians,

role="math" localid="1646514476368" $θ = 44.41 (\frac{π}{180}) = 0.7751$

Rounding off to two decimal places,

$θ = 0.78$

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Use a calculator to evaluate the expression. Express angles in radians rounded to two decimal places.
$s e c^{- 1} (1.4)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Convert into radians.

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Use a calculator to evaluate the expression. Express angles in radians rounded to two decimal places.sec-11.4

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Convert into radians.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

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Statistics

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Study anywhere. Anytime. Across all devices.

Use a calculator to evaluate the expression. Express angles in radians rounded to two decimal places.
$s e c^{- 1} (1.4)$