Question

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please solve the attachment ASAP !!!

Answer 1

Answer is 0

Step-by-step explanation is givenbelow in the photo

Answer 2

Answer:

Step-by-step explanation:

The given equation is:

$T_{n}=sin^{n}{\theta}+cos^{n}{\theta}$

Now, $T_{10}=sin^{10}{\theta}+cos^{10}{\theta}$

=$(sin^{5}{\theta})^{2}+(cos^{5}{\theta})^{2}=1$

Also, $T_{8}=sin^{8}{\theta}+cos^{8}{\theta}$

=$(sin^{4}{\theta})^{2}+(cos^{4}{\theta})^{2}=1$

and, $T_{6}=sin^{6}{\theta}+cos^{6}{\theta}$

=$(sin^{3}{\theta})^{2}+(cos^{3}{\theta})^{2}=1$

Thus, the given equation becomes:

$6T_{10}-15T_{8}+10T_{6}-1=6(1)-15(1)+10(1)-1=6-15+10-1=-9+9=0$.