Download App

Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSTrigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]2 Marks
Question
If $\tan A + \cot A = 5;$ Find the value of $\tan^2 A + \cot^2 A.$
✓

Answer

$\tan A+\cot A = 5$
Squaring both sides
$(\tan A +\cot A)^2 = 5^2$
$\tan^2 A+ \cot^2 A+2 \tan A. \cot A = 25$
$\tan^2 A+\cot^2 A+2 \tan A.\frac{1}{\tan A } = 25$
$\tan^2 A+\cot^2 A = 23$

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 "[2 Mark Question Answer]" from Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]→Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] — all question types→MATHEMATICS STD 9 question papers→ICSE Board STD 9 question papers→ICSE Board question paper generator→

Similar questions

Evaluate:
$\left[(674)^2-(326)^2\right]$
→
If $\sin 3A = 1$ and $0 < A < 90^\circ,$ find $\sin A$
→
Represent on the number line:
$-\frac{18}{11}$
→
If $a^2-3 a-1=0$ and $a \neq 0,$ find $: a-\frac{1}{a}$
→
Simplify : $\left(3 x-\frac{1}{3 x}\right)^2-\left(3 x+\frac{1}{3 x}\right)\left(3 x-\frac{1}{3 x}\right)$
→
Without actual division, find which of the fractions are terminating decimal:
$\frac{25}{128}$
→
Factorise:
$\frac{8 a^3}{27}-\frac{b^3}{8}$
→
If a diagonal of a parallelogram bisects one of the angles of the parallelogram, prove that it also bisects the second angle and then the two diagonals are perpendicular to each other.
→
Plot the following points on the graph paper$:P(2, 5), Q(4, 0), R(0, 7), S(-3, 5), T(4, -4), U(0, -2)$ and $V(-1, -4)$
→
Factorise:
$8 a^3+27 b^3$
→