from the following figure find the values of
1.Cos a
2.Cosec a
3.tan²a - sec²a
4.sin c
5.sec c
6.cot²C - 1/Sin²C
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Step-by-step explanation:
1)cosa=adjacent side/hypotenuse=3/5.
2) cosec a=hypotenuse/opposite side =5/4
3)tan^2a-sec^2a=(opposite side/adjacent side)^2-(hypo./adjacent side)^2
tan^2a-sec^2a=(4/3)^2-(5/3)^2=(16-25)/9= -9/9= -1
tan^2a-sec^2a= -1
4)sin c=opposite /hypo.=4/12=1/3
5)sec c=hypo./adjacent side=12/10=6/5
6)cot^2c-1/sin^2c=(adjacent side/opposite side)^2-1/(opposite side/hypo.)^2
cot^2c-1/sin^2c=(10/4)^2-(hypo./opposite side)^2
cot^2c-1/sin^2c=100/16-(12/4)^2.
cot^2c-1/sin^2c=100/16-144/16=(100-144)/16=-44/16
cot^2c-1/sin^2c= -11/4
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