Trigonometric Functions Class 11 Senior Secondary Mathematics: Comprehensive Chapter Question Bank, Solutions & Official PDF Practice Kit (2026-27)

Correct Answer: b

Explanation: – 143/145.

Correct Answer: R.H.S=sinA-sinCcosC-cosA           =2sinA-C2cosA+C22sinA+C2sinA-C2            =cotA+C2=cotB=L.H.S                ∵A,B,C are in A.P ∴        2B=A+C

Explanation: $R . H . S = \frac{sinA - sinC}{cosC - cosA} \\                       = \frac{2 sin \frac{A - C}{2} cos \frac{A + C}{2}}{2 sin \frac{A + C}{2} sin \frac{A - C}{2}} \\                         = cot \left(\frac{A + C}{2}\right) = cotB = L . H . S \\                                 \begin{bmatrix} \because A , B , C \&\text{nbsp};\text{are in A}.\text{P}\&\text{nbsp}; \\ \therefore                 2 B = A + C \end{bmatrix}$

Correct Answer: a

Explanation: 720°.

Correct Answer: N/A

Explanation: According to the question, in 60 seconds, pinwheel makes 360 revolutions. Therefore, number of revolutions made by pinwheel in 1 second = $\cfrac{360}{60}=6$​ revolutions. Since, angle swept by Pinwheel toy in 1 revolutions = 360°. Thus, angle swept by pinwheel in 6 revolutions = 360° × 6 = 2160°

Correct Answer: Here,cosx=12cosx=cosπ3 Thus,   x=2nπ±π3where n is any integer.

Explanation: $Here , \\ cosx = \frac{1}{2} \\ cosx = cos \left(\frac{\pi}{3}\right) \\ \&\text{nbsp};\text{Thus},\&\text{nbsp};    x = 2 nπ \pm \frac{\pi}{3} \\ where   n   is   any   integer .$