Question

sec²theta - 2 tan theta = 0.
solve for theta​

Answer 1

Answer:

Sec²x=1+tan²x.

hence given 1+tan²x-2tanx=0

=>tan²x-tanx-tanx+1=0

=>tanx(tanx-1)-1(tanx-1)=0

=>(tanx-1)(tanx-1)=0

=>tanx=1=tan45°

hence X=theta=45°

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