Question
find the value of $: \cos^2 60^\circ+ \sin^2 30^\circ$
✓
Answer
$\cos^2 60^\circ + \sin^2 30^\circ =$
$\left(\frac{1}{2}\right)^2+\left(\frac{1}{2}\right)^2$
$=\frac{1}{4}+\frac{1}{4}$
$=\frac{1}{2}$
$\left(\frac{1}{2}\right)^2+\left(\frac{1}{2}\right)^2$
$=\frac{1}{4}+\frac{1}{4}$
$=\frac{1}{2}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
More "[2 Mark Question Answer]" from Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]→Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] — all question types→MATHEMATICS STD 9 question papers→ICSE Board STD 9 question papers→ICSE Board question paper generator→
Similar questions
Find the sum of the interior angles of a polygon of$: 7$ sides
→Find the compound interest to the nearest rupee on $Rs. 10,800$ for $2 \frac{1}{2}$ years at $10 \%$ per annum.
→Express $\log _{10}\left(\frac{x^2 y^3}{z}\right)$ in terms of $\log _{10} x, \log _{10} y$ and $\log _{10} z$.
→If $\left(a-\frac{1}{a}\right)=\sqrt{5}$, find the values of : $\left(a^3+\frac{1}{a^3}\right)$.
→An expression was factorised as $(x-1)(x-3)(x-5) \ldots(x-99)$. What is the coefficient of $x^{49}$ in the expression?
→Point $P (2, -7)$ is the centre of a circle with radius $13\ unit, \text{PT}$ is perpendicular to chord $\text{AB}$ and $T = (-2, -4);$ calculate the length of $\text{AB}.$
→Represent each of the following on the real line.
$\sqrt{6}$
→$\sqrt{6}$
If $\log 8=0.9030$, find the value of $:$$\log \sqrt{32}$
→Using the standard formulae, expand:
$\left(3 x^2 y+z\right)^2$
→$\left(3 x^2 y+z\right)^2$
If $\sin x = \cos y;$ write the relation between $x$ and $y,$ if both the angles $x$ and $y$ are acute.
→