Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−csc2(θ)cos(θ)
Evaluate
cot(θ)sec(−θ)cot(−θ)
Use sec(−t)=−sec(t) to transform the expression
cot(θ)sec(θ)cot(−θ)
Use cot(−t)=−cot(t) to transform the expression
cot(θ)sec(θ)(−cot(θ))
Rewrite the expression
−cot(θ)sec(θ)cot(θ)
Calculate
More Steps
Multiply the terms
cot(θ)cot(θ)
Calculate
cot1+1(θ)
Calculate
cot2(θ)
−cot2(θ)sec(θ)
Calculate
More Steps
Evaluate
−cot2(θ)
Transform the expression
−(sin(θ)cos(θ))2
Simplify
−sin2(θ)cos2(θ)
−sin2(θ)cos2(θ)×sec(θ)
Calculate
−sin2(θ)cos2(θ)×cos(θ)1
Calculate
−sin2(θ)cos(θ)
Rewrite the expression
−sin−2(θ)cos(θ)
Simplify
(−1−cot2(θ))cos(θ)
Rewrite the expression
−cos(θ)−cos(θ)cot2(θ)
Calculate
−cos(θ)−cos(θ)(csc2(θ)−1)
Solution
−csc2(θ)cos(θ)
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