Math, asked by shawnalfonso432, 10 months ago

If 2sin ø= 2-cos ø find the value of sin ø​

Answers

Answered by aaravshah716
1

Answer:

ø = 90degrees

Step-by-step explanation:

2sinø =2-cosø

=>2-2sinø = cosø

=>2 = cosø + 2sinø

this is only possible if sinø=1 and cosø=0

therefore ø = 90degrees

                                       

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Answered by amitsnh
0

Answer:

Sin theta = 1 or 3/5

Step-by-step explanation:

the question is not clearly visible

It it is 2Sintheta = 2 - costheta then

i am using A in place of theta

2sinA = 2 - CosA

CosA = 2 - 2SinA

squaring both side

cos^2A = 4*(1 - sinA)^2

1 - Sin^2A = 4(1 - sinA)^2

(1-sinA)(1+sinA) - 4(1-sinA)^2 = 0

(1-sinA)(1+sinA -4+4sinA) = 0

(1 - sinA)*(5sinA - 3) = 0

this means either 1 - sinA = 0

which gives SinA = 1

or

5sinA - 3 = 0

which gives

sinA = 3/5

this, SinA = 1 or 3/5

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