anyone here na magaling sa trigonometry? i need help. i really don't get it. absent ako sa onlinr classes for 3 days dahil walang perang pang load. thanks.
The whole concept of trigonometry is developed from a concept called the UNIT CIRCLE. This is the special circle with the formula x2+y2=1x2+y2=1 , where x=sin(x),y=cos(x)x=sin(x),y=cos(x) . Also, the name implies that trigonometry has the name root from the Sanskrit word 'Trikonam' which means triangle and the Latin word 'metrus' which makes 'Trigonometry' in English. So, it has to do with metrics of a triangle, in the UNIT CIRCLE. Imagine that the unit circle is a whole 360\degrees360\degrees one. 00 starts from the right and 360360 ends at the same point. At each 4545 of the circle, sin=0.707,cos=0.707,tan=1sin=0.707,cos=0.707,tan=1 . Where, sinsin is the opposite side divided by the hypoteneuse side, coscos is the adjacent side divided by the hypoteneuse side, and tantan is the opposite side divided by the adjacent side. Lets look at some important angles.
315\degrees315\degrees
270\degrees270\degrees
215\degrees215\degrees
180\degrees180\degrees
135\degrees135\degrees
45\degrees45\degrees
And also remember some identities,
sin2+cos2=1sin2+cos2=1 , (the formula for the unit circle)
Answers & Comments
Answer:
Good question. But there are many basics.
1) The unit circle
The whole concept of trigonometry is developed from a concept called the UNIT CIRCLE. This is the special circle with the formula x2+y2=1x2+y2=1 , where x=sin(x),y=cos(x)x=sin(x),y=cos(x) . Also, the name implies that trigonometry has the name root from the Sanskrit word 'Trikonam' which means triangle and the Latin word 'metrus' which makes 'Trigonometry' in English. So, it has to do with metrics of a triangle, in the UNIT CIRCLE. Imagine that the unit circle is a whole 360\degrees360\degrees one. 00 starts from the right and 360360 ends at the same point. At each 4545 of the circle, sin=0.707,cos=0.707,tan=1sin=0.707,cos=0.707,tan=1 . Where, sinsin is the opposite side divided by the hypoteneuse side, coscos is the adjacent side divided by the hypoteneuse side, and tantan is the opposite side divided by the adjacent side. Lets look at some important angles.
315\degrees315\degrees
270\degrees270\degrees
215\degrees215\degrees
180\degrees180\degrees
135\degrees135\degrees
45\degrees45\degrees
And also remember some identities,
sin2+cos2=1sin2+cos2=1 , (the formula for the unit circle)
tan2+1=sec2tan2+1=sec2
1+cot2=csc21+cot2=csc2
tan=sincostan=sincos
sec=1sinsec=1sin
csc=1coscsc=1cos
cot=1tancot=1tan
The double angle formulas,
sin(2x)=2sin(x)cos(x)sin(2x)=2sin(x)cos(x)
cos(2x)=cos2(x)−sin2(x)cos(2x)=cos2(x)−sin2(x)
tan(2x)=sin(2x)cos(2x)tan(2x)=sin(2x)cos(2x)
The half angle formulas,
sin(x2)=1−cos(x)2−−−−−−√sin(x2)=1−cos(x)2
cos(x2)=1+cos(x)2−−−−−−√cos(x2)=1+cos(x)2
tan(x2)=sin(x2)cos(x2)tan(x2)=sin(x2)cos(x2)
And other identities,
Trigonometric Identities .
The integrals and derivatives of the functions,
Trigonometric Integrals .
Last but not the least,
"Practice makes a man perfect"
Thanks for the A2A