Find the value of sin(θ) if 2sinθ = tanθ, for 0 < θ < 90°.
We know that tanθ = sinθ/cosθ. Given 2sinθ = tanθ, we have 2sinθ = sinθ/cosθ. Multiplying both sides by cosθ, we get 2sinθ * cosθ = sinθ. Dividing both sides by sinθ, we get 2cosθ = 1. Thus, cosθ = 1/2. Now, sin²θ = 1 - cos²θ = 1 - (1/2)² = 1 - 1/4 = 3/4, so sinθ = √3/2.
The ________ between the two nations resulted in years of peaceful relations.
When the deadline was approaching, the team decided to _______ to meet their goals.
Like many in Russia, she blamed the country's failings on futile attempts to _____________ with the West.
Fill in the blank with the most appropriate word.
No wonder the burglars are at large. The police is in ______ with them.
The statue, which was declared as a new ___________ of an antique, was recovered hours before it was scheduled to be shipped to Malaysia.
Which preposition can fill in the following sentence?
Have you ever been to a concert _____ your favorite band?
A sudden demand for tamarind seeds ________ in the market.
The charge nurse will _________ to other staff members, trying to find last-minute replacements.
University in Allahabad will have an input --------- the project.
In …….. days of commercialization of medical profession, the likes of him were rare ……….
