The value of cos(A+B) is 36/325.
<h3>What is Trigonometry?</h3>
The branch of mathematics concerned with specific functions of angles and their application to calculations.
Given:
cos(A)=−5/13
sin(B)=7/25
Now Using identity,
sin²A + cos² A= 1
sin A= √1 - cos² A
sin A = √1- 25/169
sin A= √144/169
sin A= 12/13
Again,
sin²B + cos² B= 1
cos B= √1 - sin² B
cos B = √1- 49/625
cos B= √576/625
cos B= -24/25
Now,
cos (A +B) = cos A cos B - sin A sin B.
= -5/13* (-24/25) - 12/13* 7/25
= 120/325 - 84/325
= 36/325
Hence, the value of cos (A + B) is 36/325.
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Answer:
Step-by-step explanation:
Answer: 156 inches
Step-by-step explanation:
12 inches = 1 foot
In April, Ms Harris used 32 feet of ribbon for an art club. We will convert this to inches. This will b e:
= 32 × 12
= 384 inches
In May, she used 45 feet of ribbon . We convert to inches.
= 45 × 12
= 540 inches
We now calculate the difference in inches. This will be:
= 540 - 384 inches
= 156 inches
