The variation of the values of sine and Cosine
The variation of the values of sin and cos from 0 to 2 - It is clear from the diagram that the values ..
The variation of the values of sin and cos from 0 to 2 - It is clear from the diagram that the values ..An equilateral triangle ABC is inscribed in the circle with center O a..
An equilateral triangle ABC is inscribed in the circle with center O and radius 12 cm. Find the perimeter of the triangle using law of cosines to two significant digits. => 50.7 cm or 16.9 cm or 19.9 cm or 288 cm..
Summary
i. The trigonometric ratio's are: Sine, Cosine, Tangent, Cotangent, Secant, and Cosecant. ii. sin A = cos (90 o - A). iii. sin A / cos a = tan A...
Aid to memorise the table for standard angles:
(a) Write 0, 1, 2, 3, 4 over each column as shown above. (b) Divide each number by 4 and take the square root. The values obtained are sine ratios. (c) Write these ratios in reverse order and you obtain the cosine ratios (sin A = cos B if A + B = 90 o ) (d) Divide each sine rat..
(a) Write 0, 1, 2, 3, 4 over each column as shown above. (b) Divide each number by 4 and take the square root. The values obtained are sine ratios. (c) Write these ratios in reverse order and you obtain the cosine ratios (sin A = cos B if A + B = 90 o ) (d) Divide each sine rat..PRE-CALCULUS
Limits of sequences, series Continuity, end behavior, asymptotes, limits Regression Law of Sines/Cosines, area formulas Parametric/rectangular forms of functions Vectors Even/odd functions, significant values Functions and operations Conic sections- applications Seque..
Some Important Relations
From the above observation, we find (i) sin A = cos B where A + B = 90 o \ Sine of an angle = Cosine of its complement sin A = cos (90 - A) o sin 40 o = cos (90 - 40) o = cos 50 o (ii) = tan A (iii) By Pythagoras theorem a 2 + b 2 = c 2 ..
From the above observation, we find (i) sin A = cos B where A + B = 90 o \ Sine of an angle = Cosine of its complement sin A = cos (90 - A) o sin 40 o = cos (90 - 40) o = cos 50 o (ii) = tan A (iii) By Pythagoras theorem a 2 + b 2 = c 2 ..AC Circuit Containing Resistance only
AC Circuit Containing Resistance only - Let an AC source of EMF E be connected to a pure resistance R. The instantaneous EMF from the source is given by E = E o sin w t From Ohm's law I = E/R = E o /R . sin w t I = I o sin w t The variation of E and I shows t..
AC Circuit Containing Resistance only - Let an AC source of EMF E be connected to a pure resistance R. The instantaneous EMF from the source is given by E = E o sin w t From Ohm's law I = E/R = E o /R . sin w t I = I o sin w t The variation of E and I shows t..Trigonometry Summary
Summary - sine of an angle = cosine of its complement. If sin A = cos B, then A + B = 90 o . Trigonometric ratios of standard angles (i) sin 0 o = 0, cos 0 o = 1, tan 0 o = 0 (i..
Summary - sine of an angle = cosine of its complement. If sin A = cos B, then A + B = 90 o . Trigonometric ratios of standard angles (i) sin 0 o = 0, cos 0 o = 1, tan 0 o = 0 (i..Simple Harmonic Motion
The restoring force in a spring (or in general, any elastic body) obeys Hooke's law. An English scientist Robert Hooke, in the year 1679, enunciated the fundamental law of elasticity in the form ut tensio sic vis which means, As the tension, so is the extension. Within the elast..
The restoring force in a spring (or in general, any elastic body) obeys Hooke's law. An English scientist Robert Hooke, in the year 1679, enunciated the fundamental law of elasticity in the form ut tensio sic vis which means, As the tension, so is the extension. Within the elast..Summary (Contd..)
transmitted by T 1 and T 2 remain unaffected. However, when axes of the two crystals are at 90 0 to each other, light is completely cut off. This establishes that light waves are transverse in character. When unpolarised light is seen through a single crystal (polaroid), intensity of transmitted li..
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