Label each of the following statements as true or false If f

Label each of the following statements as true or false. If false, replace the underlined word(s) or expression to produce a true statement. The radian measure of an angle equals the length of the arc it intercepts on the unit circle. Any degree measure can be converted to radians multiplying the number. 180 by 180/pi To construct the inverse of a trigonometric function, the function must be restricted to a domain on which the function is either always increasing or always decreasing. The length of an arc intercepted by an angle is proportional to the radius; therefore, a central angle of - in a circle with radius k will intercept an arc with length k pi/5. A triangle with side lengths 7.11. and 14 has an area of 120Squareroot21.

Solution

11 ) False

Because,

Any degree measure can be converted to radians by multiplyig the number by /180°

12 ) True

14 ) False

Given sides are 7,11,14

peremeter p = 7 + 11 + 14 = 32

Semi peremeter s = p / 2 = 32 / 2 = 16

Area of triangle = [ s(s-7)(s-11)(s-14) ]^1/2

= ( 16 x 9 x 5 x 2 )^1/2

= 12x(10)^1/2

Hense,

Area of triangle with sides = 12x(10)^1/2