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Chapter 7: Q. 8 (page 504)

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

sec-11.4

Short Answer

Expert verified

On evaluating the expression, we get 0.78.

Step by step solution

01

Step 1. Given information.

Consider the given question,

sec-11.4

Assume胃=sec-11.4.

Then,

role="math" localid="1646512392495" 胃=sec-11.4sec胃=1.4

Use the reciprocal property,

role="math" localid="1646514205969" sec胃=1cos胃1cos胃=1.4

02

Step 2. Convert into radians.

Continuing the above equation,

cos胃=11.4胃=cos-111.4胃=44.41

Converting into radians,

role="math" localid="1646514476368" 胃=44.41蟺180=0.7751

Rounding off to two decimal places,

胃=0.78

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