Trigonometry

Number of solution of the equation |cos x| = sin x for $x\in \left[-4\pi ,4\pi \right]$ $$ will be equal to 4 times the number of solutions of the same equation for $x\in \left[0,2\pi \right]$ $$

Graphs of y = |cos x| and y = sin x are as shown below.

Hence, two solutions of given equation in [0, 2]

$$ $\Rightarrow$  total of 8 solutions in [4, 4]

sin (A + B) = sinA cosB + cosA sinB

sin (A - B) = sinA cosB - cosA sinB

cos (A + B) = cosA cosB - sinA sinB

cos (A - B) = cosA cosB + sinA sinB

tan (A + B) = (tanA + tanB) / (1 - tanA tanB)

tan (A - B) = (tanA - tanB) / (1 + tanA tanB) 

Double Angle Formulas:

sin 2? = 2 sin? cos?

cos 2? = cos²? - sin²

Trigonometric ratios are mathematical relationships between the angles and sides of a right-angled triangle. The primary trigonometric ratios are sine, cosine, and tangent, The Trigonometric formulas

• sin (? ) = Perpendicular/ Hypotenuse

• cos (? ) = Base / Hypotenuse

• tan (? ) = Perpendicular  / Base

Yes, Shiksha provides clear and detailed solutions for graph-based questions in trigonometry as part of the NCERT Class 11 Math solutions. We have provided clear instructions, how to sketch and interpret the graphs of standard trigonometric functions like sin (x), cos (x), tan (x), and their transfo

Questions from below topics can be asked in the Class 12 exams CBSE-

Positive and negative angles. Measuring angles in radians and in degrees and conversion from
one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of
the identity sin2x + cos2x = 1, for all