More Trigonometric Identities

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Section 5.2

Screenshot_20211212-183952_Samsung Notes.jpg


How is this done? Can you do 59 step by step? Thank you.
 
59.
MSP22341h2h8f8574d65fd000001784498fc1f4ff7i


Use the following identity:
MSP8483124d4h3955fc39ic000037adee435fdie501



replace x with (x-1)/4

=
MSP14441988ai0d7281f0ad00001379113dfgf3b6bh


=
MSP5570124i67eb4f1b8529000011i0h7dh890cfac8
...........since
MSP13458142460hda0c2fc0b00005c468h8chh083ag7


=
MSP17351gdeghbdb192f05800002g2eh75bi93e5f5h
.................-x^2 + 2x + 15 complete square, and you get 16 - (x - 1)^2

=
MSP22371d9g050a4f3g8i600000588be1icig7hd7ih
 
59.
MSP22341h2h8f8574d65fd000001784498fc1f4ff7i


Use the following identity:
MSP8483124d4h3955fc39ic000037adee435fdie501



replace x with (x-1)/4

=
MSP14441988ai0d7281f0ad00001379113dfgf3b6bh


=
MSP5570124i67eb4f1b8529000011i0h7dh890cfac8
...........since
MSP13458142460hda0c2fc0b00005c468h8chh083ag7


=
MSP17351gdeghbdb192f05800002g2eh75bi93e5f5h
.................-x^2 + 2x + 15 complete square, and you get 16 - (x - 1)^2

=
MSP22371d9g050a4f3g8i600000588be1icig7hd7ih

I will do 57, 58, and 60 before going to the next section. Nicely-done.
 

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