Question

8) If tan o = 1 ,

find Sin o & Cos 0​

Answer 1

Answer:

tan 0=1

sec2 0=1+tan2 0

=1+(1)2

=1+1

therefore,sec2 0=2

therefore,sec 0=squareroot2

cos 0=1_sec0

therefore,cos0=1_squareroot2

tan0=1

therefore,sino_cos0=1

thereforesin0=1_squareroot2

cosec0=1_sin0

therefore,cosec0=squareroot2

sun0+cos0_sec0+cosec0=(1_squareroot2+1_squareroot2)+(squareroot2+squareroot2

=2_squareroot2+2squareroot2

therefore,sin0+cos0_sec0+cosec0=2_squareroot2×1_2squareroot2

therefore,sin0+cos0_sec0+cosec=1_2