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Solve the following equations : i) tan...

Solve the following equations :
i) `tantheta=cottheta`, ii) `cos2theta=2sin^(2)theta`
iii) `tan3theta=-sqrt(3)`, iv) `sin2theta-costheta=0`
v) `sec^(2)2theta=1-tan2theta`

Text Solution

Verified by Experts

i) `theta=npi+-pi/4`, ii) `theta=npi+-pi/6`
iii) `theta=1/3(npi-pi/3)`
iv) `theta=(2n+1)pi/2, theta=npi+(-1)^(n)pi/6`
v) `theta=(npi)/(2), theta=1/2(npi-pi/4)`
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