Math, asked by paakhee, 1 year ago

prove that (sin 65°+cos 25° ) (sin 65°-cos 25° ) =0

Answers

Answered by MelissaTan
6
(sin 65° + cos 25°)(sin 65° - cos 25°)
= (0.906 + 0.906)(0.906 - 0.906)
= (1.812)(0)
= 0

Anything multiplied by 0 equals to 0.

paakhee: I am in class 10 we don't have the values of angles except standard angles
AryanK10: see my sol.
AryanK10: its class 10
MelissaTan: The question is exactly like the one you asked.
MelissaTan: You can type the sine and cosine values into the calculator to get the decimal numbers.
AryanK10: your sol. is correct but this isn't taught in class 10
AryanK10: its higher level
MelissaTan: Uh... Well... After you input the values into the calculator, just add and subtract the numbers in the brackets. Then multiply the two numbers and you will get a 0.
AryanK10: we dont get calc. in exams
MelissaTan: Oh I see
Answered by AryanK10
17
(sin 65+cos25)(sin 65-cos25)
according to formula
sin(90-theta)=costheta
now
(sin65+cos25)(sin(90-25)-cos25)
(sin65+cos25)(cos25-cos25) {according to formula}

(sin65+cos65)(0)=0
hence proved

AryanK10: sinX is = cos(90-K)
AryanK10: where k is the no. when subtracted from 90 gives X
paakhee: how sin 65 + sin 65 = 0
AryanK10: no cos25-cos25 is zero
AryanK10: in 1st bracket i didnt convert anything
paakhee: ok
AryanK10: no listen
AryanK10: that was mistake
paakhee: ok
AryanK10: i corrected it
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