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exercise 8.3 1. Express the trigonometric ratios \(\sin A\), \(\sec A\) ,and \(\tan A\) in terms of \(\cot A\). Solution: We know that,\(\cot A = \frac{\cos A}{\sin A}\) \(tan A\) in terms of \(cot A\)\(tan A =...
EXERCISE 8.2 1. Evaluate the following : (i) \( \sin 60^\circ \cos 30^\circ + \sin 30^\circ \cos 60^\circ \) Solution: We use the known trigonometric values: \( \sin 60^\circ = \frac{\sqrt{3}}{2}, \quad \cos 30^\circ...
Kokrajhar: The 5th Bodoland Territorial Council (BTC) Election 2025 was took place on 22 September 2025, covering all 40 constituencies in Assam’s Bodoland Territorial Region. Voter turnout was impressive, with nearly 78% of...
Preparing for competitive exams often requires a strong updated information of General Knowledge, especially when it comes to state-specific facts. For aspirants focusing on Assam, having clear, reliable information about its...
The statement “Real power comes from trusting your heart over outside noise” means that true strength comes when you listen to your own inner voice instead of letting others’ opinions or distractions to guide...
“Empowerment is not about being perfect; it’s about owning your imperfection” this statement means that true strength and confidence don’t come from trying to be flawless. In actual they come from accepting and...
The statement “Stand tall in your truth, even when it’s difficult or uncomfortable” means you should be honest about who you are, what you believe, and what you feel, even if others don’t agree or if it makes your...
The statement “Your voice has power, use it to speak for your truth and values” means that what you say it matters for your life. Your voice is not just sound that can share your ideas, feelings, and beliefs. When you...
The statement “The courage to be yourself is the foundation of true empowerment” means that real strength and confidence come from being true to who you are. It takes bravery to show your real thoughts, feelings, and...
The statement “Believe in your power and let your actions prove your strength” means two important things. First one is you should have confidence in yourself and your abilities. Trust that you can do great things on...
The statement “You have everything you need within you to create the life you desire” means that all the qualities, skills, and strength you need to build the life you want are already inside you. You don’t have to...
The statement “Your future is being shaped by the choices you make now” means that the decisions you make today will affect what your life will be like later. Every action that you take, big or small, can change your...
The statement “Your journey is your own, and it’s meant to be lived on your terms” means that your life is unique from others. Everyone has a different path, and you don’t have to follow what others do or expect...
The statement “Power begins when you stop waiting and start acting for yourself” means that real strength and control over your life come when you stop depending on others or waiting for the “perfect time”...
The statement “The key to success is persistence and a positive mindset” means that to achieve your goals, you must keep trying even when things get hard (this is persistence) and believe in yourself and your...
The statement “Resilience is not a trait but a choice you make every day” means that being strong during hard times isn’t something you are just born with. Instead, it’s something you decide to do every day...
The statement “The only way to achieve the impossible is to believe it is possible” means that if you want to do something that seems very difficult or even impossible, you must first believe that it can be...
The statement “Transform your mind-set and you transform your world” means that changing the way you think can change how you experience the life. Your mindset is your attitude, beliefs, and how you see things. If you...
The statement “You have ability of understanding more than you imagine” means that you have more strength, talent, and potential inside you than you think. Sometimes, people doubt themselves or feel afraid to try...
