Download App

TRIGONOMETRIC FUNCTIONS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSTRIGONOMETRIC FUNCTIONS4 Marks
Question
Prove the following: $\cot4\text{x}(\sin5\text{x}+\sin3\text{x})=\cot4\text{x}(\sin5\text{x}-\sin3\text{x})$
✓

Answer

$\text{L.H.S.}=\cot4\text{x}(\sin5\text{x}+\sin3\text{x})$$=\frac{\cos4\text{x}}{\sin4\text{x}}[2\sin4\text{x}\cos\text{x}]$
$=2\cos4\text{x}\cos\text{x}$
$\text{R.H.S.}=\cot4\text{x}(\sin5\text{x}-\sin3\text{x})$
$\text{L.H.S.} = \text{R.H.S.}$

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 "(Each question 4 marks)" from TRIGONOMETRIC FUNCTIONS→TRIGONOMETRIC FUNCTIONS — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If $\text{f(x)}=\log_\text{e}(1-\text{x})$ and $\text{g(x)}=[\text{x}],$ then determine the following functions: $\frac{\text{f}}{8}$
→
Find the values of the parameter a so that the point (a, 2) is an interior point of the triangle formed by the lines x + y - 4 = 0, 3x - 7y - 8 = 0 and 4x - y - 31 = 0.
→
Find the equation to the ellipse in the standard form whose minor axis is equal to the distance between foci and whose latus-rectum is $10$.
→
Let f and g be two real functions defined by $\text{f(x)}=\sqrt{\text{x}+1}$ and $\text{g(x)}=\sqrt{9-\text{x}^2}$ Then describe the following functions: $\frac{\text{f}}{\text{g}}$
→
Solve the following equations: $\sin\text{x}\ \tan\text{x}-1\tan\text{x}-\sin\text{x}$
→
Evaluate $^{20}\text{C}_{5}+\sum\limits_\text{r=2}^5\ ^{25-\text{x}}\text{C}_4.$
→
If the lines $p_1x + q_1y = 1, p_2x + q_2y = 1$ and $p_3x + q_3y = 1$ be concurrent, show that the points $(p_1, q_1), (p_2, q_2)$ and $(p_3, q_3)$ are collinear.
→
Prove that: $\frac{\sin3\text{A}\cos4\text{A}-\sin\text{A}\cos2\text{A}}{\sin4\text{A}\sin\text{A}+\cos6\text{A}\cos\text{A}}=\tan2\text{A}$
→
Let A and B be two stes such that: $\text{n(P)}= 20,$$\text{n(A}\cup\text{B)=42 and n(A}\cap\text{B})=4.$ Find: $\text{n(B} - \text{A)}.$
→
Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow\infty}\Big\{\frac{\text{x}^2+2\text{x}+3}{2\text{x}^2+\text{x}+5}\Big\}^{\frac{3\text{x}-2}{3\text{x}+2}}$
→