Question

please give me the answers to the picture please​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

(i) Given ,

<N = Ф

<M = 90°

cos Ф = 24/25

Since,

cos Ф = Adjacent/Hypotenuse

cos Ф = MN/LN

∴ MN  = 24, LN = 25

Using Pythagoras Theorem,

LN^2 = LM^2 + MN^2

$25^{2}$ = LM^2 + $24^{2}$

625 = LM^2 + 576

LM^2 = 625 - 576

LM^2 = 49

LM = 7

∴,

sin Ф = 7/25

cos Ф = 24/25

tan Ф = 7/24

sec Ф = 25/7

cosec Ф = 25/24

cot Ф = 24/7

(sin Ф)^2 + (cos Ф)^2 =

(7/25)^2 + (24/25)^2=

49/625 + 576/625

=> 1

(ii) L.H.S = cos3A = cos(2A+A)  

= cos2A.cosA – sin2A.sinA  

= (2cos2A - 1)cosA – 2sinA cosA sinA  =

2cos3A – cosA – 2cosA(1-cos2A)  =

2cos3A – cosA – 2cosA + 2cos3A  =

4cos3A – 3cosA = R.H.S

(iii) A = 30

lhs = sin a = 1/2

Rhs = root(1 - cos 2x30/2)

=> root((1 - cos 60)/2))

=> root ((1 - 1/2)/2)

=> root (1/4)

=> 1/2

LHS = RHS = 1/2

Hope this help you, kindly mark this answer the brainliest

Step-by-step explanation: