PLSS ANSWER FAST!!
If theta is an acute angle and tan theta + cot theta + 2, then find the value of tan^9 theta + cot^7 theta.
Answers
Answered by
1
Answer:
true
Step-by-step explanation:
tanθ+cotθ=2
tanθ+
tanθ
1
=2
tanθ
tan
2
θ+1
=2
tan
2
θ−2tanθ+1=0
(tanθ−1)
2
=0
tanθ=1
θ=45
0
Therefore,
tan
7
θ+cot
7
θ=tan
7
45
o
+cot
7
45
o
=1+1=2
Similar questions