Trigonometry Answers

Is it possible to find a spherical triangle having the following sides? Explain why?

a = 120° b = 125° c = 130°

Is it possible to find a spherical triangle having the following angles? Explain why?

A = 135° B = 150° C = 90°

Is it possible to find a spherical triangle having the following angles? Explain why?

A = 160° B = 65° C = 90°

Using Napier’s rules solve the triangle ABC if:
1. a = 45° 20′
c = 63° 10′ C = 90°
2. A = 48° 26′ B = 100° 40′ C = 90°
3. a = 103° 15′ b = 58° 23′ C = 90°

Develop a formula to find the missing parts of the following triangle if the given parts are:
1. Angle B; side c
2. Angle A; side b
3. Angle B;Angle A

TanA × Tan2A = 1

Prove sin3A + cos3A = 1

Find at least one solution to the following equation:
sin(x^2 − 1)/1 − sin(x^2 − 1) = sin(x) + sin^2(x) + sin^3(x) + sin^4(x) + · · ·

Find at least one solution to the following equation:
(sin(x^2 − 1))/(1 − sin(x^2 − 1)) = sin(x) + sin^2(x) + sin^3(x) + sin^4(x) + · · ·

Complete the Pythagorean Identity:

csc^2(x)−cot^2(x)=

Verify the identity on your own paper and upload a picture of your work.

tan(x)csc(x)cos(x)=1