Step-by-step explanation:
Solution
Given 2θ,θ+6 are acute angles
tan2θ=cot(θ+6)
tan2θ=tan(90−θ−6)
⟹2θ=84−θ
⟹3θ=84
⟹θ=28
hope it was helpful please mark me as a brainliest ❤
[tex]\huge{\bf{{\underline{\colorbox{red} {\color{black} {Answer}}}}}}[/tex]
To solve the given expression, we'll simplify it step-by-step:
1. Given expression: $2 \tan^2 \theta + \tan^2 \theta - 6$
2. Combining like terms: $2 \tan^2 \theta + \tan^2 \theta - 6 = 3 \tan^2 \theta - 6$
3. Simplifying the expression: $3 \tan^2\theta - 6$
Therefore, the simplified expression is $3 \tan^2 \theta - 6$.
