Download App

Trigonometry – II — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometry – II1 Mark
Question
Express the following as a sum or difference of two trigonometric functions : $2 \sin \frac{2 \pi}{3} \cos \frac{\pi}{2}$
✓

Answer

$\begin{aligned}
2 \sin \frac{2 \pi}{3} \cos \frac{\pi}{2} & =\sin \left(\frac{2 \pi}{3}+\frac{\pi}{2}\right)+\sin \left(\frac{2 \pi}{3}-\frac{\pi}{2}\right) \\
& =\sin \frac{7 \pi}{6}+\sin \frac{\pi}{6}
\end{aligned}
$
[Note: Answer given in the textbook is $\sin \frac{7 \pi}{12}+\sin \frac{\pi}{12}$ However, as per our calculation it is $\sin \frac{7 \pi}{6}+\sin \frac{\pi}{6}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the following Question.(1 Marks)" from Trigonometry – II→Trigonometry – II — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

If A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}, write (A - C) × (B - C).
→
State the first principle of mathematical induction.
→
Find whether the following functions are one-one.

$f: R \rightarrow R$ defined by $f(x)=x^2+5$

→
Find the image of:
(-5, 0, 3) in the xz-plane.
→
Find the values of tan 840°.
→
If A = (-7, 3], B = [2, 6] and C = [4, 9], then find

B – C

→
Check the validity of the following statements:
p: 100 is a multiple of 4 and 5.
→
If A = (-7, 3], B = [2, 6] and C = [4, 9], then find

A ∩ C

→
Convert the following angles into radians : -132°
→
Write the locus of a point the sum of whose distances from the coordinates axes is unity.
→