Question

If sin(a+b) =1 and tan(a-b)=1/root 3. Find the value of tanA+cotB

Answer 1

sin(a+b)=1
sin(a+b)= sin 90 degree
(a+b) = 90 ..........1 eq
tan(a-b)= 1root 3
tan(a-b)= tan30
( a- b) = 30.........2 eq
by elimination
a + b=90
a - b=30
we get 2a=120
a= 60
put in 1eq
60 + b=90
b. = 90-30
b. =60
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Answer 2

Answer:

Given: SP║RQ, ∠R = 90° and ∠Q = 130°.

To find: The measure of ∠P.

Answer:

It is given that SP║RQ. So let us assume that PQ is the transversal.

Therefore, ∠P + ∠Q = 180° (Co - interior Angles are Supplementary)

∠P + 130° = 180°

∠P = 180° - 130°

∠P = 50°

Now let us assume that SR is the transversal.

Therefore, ∠S + ∠R = 180° (Co - interior Angles are Supplementary)

∠S + 90° = 180°

∠S = 180° - 90°

∠S = 90°

Step-by-step explanation: