Download App

Trigonometry – I — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometry – I1 Mark
Question
$\sin^4\theta + 2sin^2\theta \cos^2\theta = 1 – \cos^4\theta $
✓

Answer

L.H.S. $= \sin^4\theta + 2sin^2\theta \cos^2\theta = \sin^2\theta (\sin^2\theta + 2cos^2\theta )$
$= (\sin^2\theta ) (\sin^2\theta + \cos^2\theta + \cos^2\theta ) = (1 – \cos^2\theta ) (1 + \cos^2\theta )$
$= 1 – \cos^4\theta $= R.H.S.

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 – I→Trigonometry – I — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

For the following G.P.s, find $S_n$ : √5, -5, 5√5, -25, …….
→
Find the number of different ways of arranging letters in the word ARRANGE. How many of these arrangements do not have the two R’s and two A’s together?
→
$\text{n}(\geq3)$ persons are sitting in a row. Two of them are selected. Write the probability that they are together.
→
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {4, 5, 6, 7, 8} and universal set X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then verify the following: A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
→
If $f(m)=m^2-3 m+1$, find
$\left(\frac{\mathbf{f}(2+h)-f(2)}{h}\right), \mathrm{h} \neq 0$.
→
Write the sum of the series $1^2 - 2^2 + 3^2 - 4^2 + 5^2 - 6^2 + ..... + (2n - 1)^2 - (2n)^2$
→
If S and S' are two foci of the ellipse $\frac{\text{x}^2}{\text{b}^2}+\frac{\text{y}^2}{\text{b}^2}=1$ and B is an end of the minor axis such that $\triangle\text{BSS}'$ is equilateral, then write the eccentricity of the ellipse.
→
If A and B are subsets of the universal set X and n(X) = 50, n(A) = 35, n(B) = 20, n(A’ ∩ B’) = 5, find n(A’ ∩ B)
→
Find the value of cos 15°
→
Find A.M. of two positive numbers whose G.M. and H.M. are 4 and $\frac{16}{5}$ respectively.
→