Question
Prove that:
tan (55° - A) - cot (35° + A)

Answer

tan (55° - A) - cot (35° + A)
= tan [90° - (55° - A)] - cot (35° + A)
= cot (90° - 55° + A) - cot (35° + A)
= cot (35° + A) - cot (35° + A)
= 0

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Find the seventh term from the end of the series: $\sqrt{2}, 2,2 \sqrt{2}, \ldots \ldots, 32$
The figure shows two circles which intersect at $A$ and $B$. The centre of the smaller circle is $O$ and lies on the circumference of the larger circle. iven that $\angle APB = a^o$. Calculate, in terms of $a^o$​​​​​​​, the value of: $\angle ADB.$
Give reasons for your answers clearly.
Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is:  13 
If p: q = r: s; then show that: mp + nq : q = mr + ns : s.
A boy scored following marks in various class tests during a term; each test being marked out of 20.
15, 17, 16, 7, 10, 12, 14, 16, 19, 12 and 16
What are his mean marks?
Using remainder theorem, find the value of a if the division of $x^3 + 5x^2 – ax + 6 by (x – 1)$ leaves the remainder 2a.
Two different coins are tossed simultaneously .Find the probability of getting :
(i)two tails
Mr. Gupta opened a recurring deposit account in a bank. He deposited Rs. 2500 per month for two years. At the time of maturity he got Rs. 67,500. Find:1) the total interest earned by Mr Gupta.
2) the rate of interest per annum.
The triangle $ABC$, where $A$ is $(2, 6), B is (-3, 5)$ and C is $(4, 7)$, is reflected in the y-axis to triangle$ A’B’C’.$ Triangle $A’B’C$’ is then reflected in the origin to triangle $A”B”C”.(i)$ Write down the co-ordinates of $A”, B”$ and $C”.$
(ii) Write down a single transformation that maps triangle ABC onto triangle $A”B”C”.$
From the following data, find: Inter$-$quartile range $25, 10, 40, 88, 45, 60, 77, 36, 18, 95, 56, 65, 7, 0, 38$ and $83$