from the given figure , write down the values of : (1) sin B (2) tan B (3) cos C (4) cot C (5) ( sin B cos C + cos B sin C ) (6) ( sec² C – tan² C)
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1. sinB = AC/BC=8/17
2. tanB=AC/AB=8/15
3. cosC=AC/BC=8/17
4. cotC= AC/AB=8/15
5. (sinBcosC+cosBSinC)=8/17×8/17+15/17×15/17
=64/289+225/289=289/289=1
6. (sec^2C-tan^2C)=(17/8)^2-(15/8)^2
=289/64-225/64=64/64=1
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