Web7 years ago. The easiest way is to see that cos 2φ = cos²φ - sin²φ = 2 cos²φ - 1 or 1 - 2sin²φ by the cosine double angle formula and the Pythagorean identity. Now substitute 2φ = θ … Web23 Jan 2024 · Given: #tan(theta) = 4# Substitute #(4)^2# for #tan^2(theta)# into the identity:. #sec(theta) = +-sqrt(1 + 4^2# #sec(theta) = +-sqrt17# Whether the secant is …
If Sec θ + Tan θ = X, Then Sec θ = - Mathematics Shaalaa.com
WebThe secant function ‘or’ Sec Theta is one of the trigonometric functions apart from sine, cosine, tangent, cosecant, and cotangent. In right-angled trigonometry, the secant function is defined as the ratio of the … Web7 years ago. The easiest way is to see that cos 2φ = cos²φ - sin²φ = 2 cos²φ - 1 or 1 - 2sin²φ by the cosine double angle formula and the Pythagorean identity. Now substitute 2φ = θ into those last two equations and solve for sin θ/2 and cos θ/2. hasland playgoers
If tan θ + sec θ = 4, then what is the value of sin θ?
WebSo, in order for this substitution to work out okay, you're letting x=a*tan(theta) so that when you write it out, you will end up with a^2+(a*tan(theta))^2 in your denominator. Simplifying leads to a^2+(a^2 * tan^2(theta)), and factoring the a^2 out gets: a^2(1+tan^2(theta)). Much like this video, it is basically the same process, just keeping ... Web4 Apr 2024 · Integral of Trigonometric Functions: If we know an object’s instantaneous velocity at a given time, a logical issue arises: can we calculate the object’s location at any given time?There are various practical & theoretical instances or scenarios involving the integration process. The expansion of integral calculus results from attempting to solve … WebFree trigonometric identity calculator - verify trigonometric identities step-by-step boomland car air freshener