cos3 270 + tan²8
st
Prove that :-
180
ose
cosec
sin 23600
Sec 180°
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Answer:
yep
Step-by-step explanation:
`L.H.S. = (sin(180^@+theta)cos(90^@+theta)tan(270^@-theta)cot(360^@-theta))/(sin(360^@-theta)cos(360^@+theta)cosec(-theta)sin(270^@+theta))`
`= (sin(theta)(-sin(theta))cot(theta)(-cot(theta)))/((-sin(theta))(cos(theta)(-cosec(theta)(-cos(theta))`
`=(sin^2thetacot^2theta)/(sinthetacosecthetacos^2theta)`
`=(sin^2theta(cos^2theta/sin^2theta))/(sintheta(1/sintheta)cos^2theta)`
`=cos^2theta/cos^2theta`
`=1 = R.H.S.`
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