lerminal side of angle 180°-0 lies in the second quadrant. (b) What is the reference angle for the angle 180-67 (c) Use Steps (a) and (b) to conclude that sin(180° sin 0. A) = sin 0 is valid in the 62. Check that the identity sin(180° three cases 03D0°, 0% 390°, and 0 =180° Note: This exercise completes the verification of the iden- tity sin(180°- 0) = sin 0 for all 0 from 0° to 180e For Exercises 63 and 64, refer to the following figure B. 63. Express the area of AABP as a function of A 64. (a) Express the slope of PB as a function of 8. (b) Express the slope of PA as a function of 0. (c) Using the expressions obtained in parts (a) and (b), compute the product of the two slopes. (d) What can you conclude from your answer in part (c) As background for Exer logarithms in Sections 5.3 and 5.4. cises 65-70, you need to have studie 65. (a) Choose (at random) an angle 0 such that 0° < 0 < Then with this value of 0, use your calculator to ve that log10(sin² 0) = 2 log10(sin ). (b) For which values of 0 in the interval 0°

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.