If secθ + tanθ = 3+√10, then the value of sinθ+cosθ is
secθ + tanθ = 3+√10 ............... (i) (sec²θ - tan²θ) = 1 (secθ + tanθ) (secθ - tanθ) = 1 (3+√10) (secθ - tanθ) = 1 secθ - tanθ = 1/(3+√10) = 1/(√10+3) secθ - tanθ = √10-3 ............ (ii) From (i) and (ii) we get, 2secθ = 2√10 secθ = √10 cosθ = 1/√10 sin²θ + cos²θ = 1 sin²θ + 1/10 = 1 sin²θ = 1- 1/10 = 9/10 sinθ = 3/√10 sinθ + cosθ = 3/√10 + 1/√10 = 4/√10 = 4/√10 × √10/√10 = (2√10)/5
Who will be honored with the Bharat Ratna, as announced by Prime Minister Narendra Modi recently?
NHAI to develop 10000 km of optic Fibre Cables Across India by ?
How does HDFC Bank's new branch in Lakshadweep primarily benefit the local population?
Which state received the first rank in the "Best Performing States – Loan Performance (Large States)" category under the PRAISE awards at the “Utkri...
What is the estimated cost of the 'Nijut Moina' scheme announced by Assam's Chief Minister over five years?
Social e-commerce platform DealShare will invest _______ in small and medium Indian brands, including its own private labels, over the next five years.
What was the primary method used by researchers to confirm the lunar cave?
Which of the following company got the broadcast right for Olympic Games Paris 2024?
Which of the following became the first film in the history of Indian cinema to star only people from indigenous communities?
What is the purpose of the 'National Creators Award' announced by the government?
