Practice30 Create account

Prove si $n^{4}$ A - co $s^{4} A$ = si $n^{2}$ A - co $s^{2}$ A.
Which identity makes this work?

Class 10Trigonometric IdentitiesTrigonometry

A $s i n^{2} A + co s^{2} A = 1$
B $1 + t a n^{2} A = se c^{2} A$
Ctan $A = \frac{s i n A}{c o s A}$
D $se c^{2} A - t a n^{2} A = 1$

Step-by-Step Solution

s i n^{4} A - co s^{4} A = (s i n^{2} A - co s^{2} A) (s i n^{2} A + co s^{2} A) = (s i n^{2} A - co s^{2} A) (1) = s i n^{2} A - co s^{2} A

.

Answer: A)

s i n^{2} A + co s^{2} A = 1

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Trigonometric Identities practice questions

More Class 10 Trigonometric Identities practice

Simplify the expression cos^2 A * cosec A - cosec A. Which is the correct simplified form?In a shop in Lucknow, three friends compute trig values. They agree that A + A - 1/ A -…If 5 tan A = 4, evaluate 5 A - 3 A/5 A + 2 A.A right triangle has base = 8 cm and height = 6 cm, with acute angle A at the base…A ladder problem reduces to: if cos A = m/n for an acute angle A, express tan A in terms…