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2) The angles of a triangle are in the ratio 1 : 3 : 5. Find them in degrees and radians.
3) The angles of a triangle are in A.P. and the least being 36 degree. Find the angles in degrees and in radians.
4) The angles of a quadrilateral are in A.P. such that the greatest is double the least. Express the least angle in radians.
Find the exact value of tan (sin-1(-1/2))
1. Prove that ( 1 - cos2 x ) cosec2 x = 1 .
2. Prove that (tan x sin x ) + cos x = sec x .
3. Prove that Tan4 x + Tan2 x = sec4 x - sec2 x .
4. prove that Cot x + Tan x = sec x cosec x.
5. Prove that (1 + sin x) (1 - sin x) = (sec x - Tan x)2 .
Solve the equation for all x 0<x<360
Cos(2x) + ½sin(x) = 0
2. Prove that (tan x sin x ) + cos x = sec x .
3. Prove that Tan^4 x + Tan^2 x = sec^4 x - sec^2 x .
4. prove that Cot x + Tan x = sec x cosec x.
5. Prove that (1 + sin x) (1 - sin x) = (sec x - Tan x)2 .
a. Cos 118°
b. Sin 135°
c. Tan 252°
d. Sin (-60°)
e. Tan (-148°)
2. Determine the following ratios:
a. Sin 850°
b. Cos 920°
c. Tan 1040°
In a triangle, suppose A=37∘, a=3, and b=4.
Find B, C, and c.
SHOW ALL WORK TO RECEIVE FULL CREDIT
If there are no solutions, show why and then write NO SOLUTIONS as your final answer.
If there are two solutions, find B1, C1, and c1
and then find B2, C2, and c2
.
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