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Trigonometry

2. Expand the following:

(a) (1 + tan theta) ^ 2

[c] (sin theta + cos theta) ^ 2

(e) (co * sec(theta) - 1) ^ 2

(g) (sin theta + cos theta) ^ 2

3. Factorise the following:

(a) 10cos A - 10

(c) sin^2 a +3 sina.cosat

(e) 4cos^2 theta - 9

(c) cos e * c ^ 2 * theta - 4cot^2 theta

(1) tan^4 theta - 25cot^4 theta

(k) tan^3 theta - cot^3 theta

(m) tan^2 theta - 3tan theta + 2

(0) 3 sin^ theta - 8sin theta + 4

Answers

19sinA

(b) 8cos^2 theta

(e) sin^3 theta + cos^3 theta

(1) 1 - tan^4 beta

[i) tan^2 theta +2 tan theta.cot theta

(j () sin^2 x + cog

2 cosẞ

sin'B-cos

(m) tane+ cot

12tant - tan'

ti sin U+2sino.coso+cos

rc * sec^2 theta - 2cos(theta + 1)

sin theta+3 sin^ 5 theta. cos theta + 3phi(3phi)

10(goyA - 1)

sin ta(phi) * cos 2psi(tosx) )

(b) (sin theta - cos theta) ^ 2

(d) (tan theta - cot theta) ^ 2

(1) (tan theta + cot theta) ^ x

5.

The L

Perpe

If we

in th

Base

trigo

(b) sin theta.cos theta+ 2sin^2 theta .cos^ 2 theta

(d) sin theta. cos^2 theta +3 cos theta.sin^ 2 theta

(f) 4sin^2 B - 25cos^2 B

(h) sin^4 theta - 9cos^4 theta

(j) sec^3 beta - co * sec^3 theta

(1) cos^2 theta + 3cos theta + 2

(n) sin^2 theta - sin theta - 6
in this video we discussed about trigonometric chapter in Nepali