Use Aryabhata's rule to compute the altitude of the sun above the horizon in London (latitude 51° 32') at 10:00am (local solar time) on the vernal equinox. Assume that the sun rises at 6:00am on that day and sets at 6:00pm.

Q: Show that tanθ + cotθ = 2 Cosec2θ

A: Given query is to prove the Indicated identity.

Q: Use Exercise 55 to compute tan π/8 .

A: To compute tan π/8

Q: Find the value of tan2x, π/2˂x˂π, given secx=-5/4

A: We use formula of tan2x1. tan 2x = (2tan x) / (1 - tan^2 x).2.sec x = 1 / cos x. 3.sin^2 x + cos^2 x…

Q: tan (-14) 3.

A:

Q: tan 60 degrees=

A: To find the value of tan (60) degree.

Q: Using Euler' formula, show that sin 2x = 2 sin x cosx

A: Euler's Formula used.

Q: State the formula for tan ratio.

A: We have to clarify about the formula for trigonometric ratio of tangent or tan ratio tan ratio is…

Q: lHans, , Chenl exprcss 240° <0and sec -400°

A: A). 240°    Reference angle = 240°-180° =160°   B). -400°   Reference angle  = -400°+360° = -40°

Q: Find the exact value of tan (-1), if it exists. Give convincing reasons for your answer.

A:

Q: tan (sin-1)-cot (arccos

A: We need to find out the exact value of the given expression.

Q: Find exact value of expression cot ( arccos (-0.5))

A: Answer and explanation is given below..

Q: Without using a calculator, find the exact value of each: i. sin-1(sin)) =

A: topic- inverse trigonometric functions sin(π+θ)=-sin(θ)sin-1(-x)=-sin-1(x)

Q: For what numbers x, 0<=x<=2\pi , does sinx=

A: to find the value of x

Q: Sin (1/6 + arceos -13%)

A: The objective of the question is determine the value.