how to solve trig proofs crash course

by Prof. Wendy Kihn II 3 min read

To determine the value for sin, cos, or tan, simply evaluate the trig function on the referenceangle, then change the sign of the answer according to whether the function is positive or negativeon the quadrant in whichlies. For example, let’s find sin4, cos4, and tan4 3 3 3 : The reference angle for=4is= 3 3.

Continue to solve here we get sine squared of theta is 5 ninths we subtract 4 ninths from both sidesMoreContinue to solve here we get sine squared of theta is 5 ninths we subtract 4 ninths from both sides one is 9/9. So 9/9 minus 4/9 is five ninths. And then we just take the square root of both sides.

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How do you solve trigonometry proving questions?

This is because, unlike most A-Math (O-level) topics, trigonometry proving questions do not have a standard “plug and play” method of solving. Every question is a new puzzle for which the students have to find a route from start to end.

How to conquer Trigo proving?

Here, I shall distill some precious tips to help students conquer Trigo proving. To prove a trigonometric identity, we always start from either the left hand side (LHS) or the right hand side (RHS) and apply the identities step by step until we reach the other side.

How to prove trigonometric identities step by step?

To prove a trigonometric identity, we always start from either the left hand side (LHS) or the right hand side (RHS) and apply the identities step by step until we reach the other side. However, smart students always start from the more complex side.

What is the course challenge?

Have a test coming up? The Course challenge can help you understand what you need to review.

How to prove trigonometric identity?

To prove a trigonometric identity, we always start from either the left hand side (LHS) or the right hand side (RHS) and apply the identities step by step until we reach the other side. However, smart students always start from the more complex side. This is because it is a lot easier ...

What is trigonometric identity proving?

Trigonometric Identity Proving is a common question type that is included in the O-Level Additional Math syllabus. The mention of “trigo proving” would often cause even the top secondary school students to break out in cold sweat. This is because, unlike most A-Math (O-level) topics, trigonometry proving questions do not have a standard “plug and play” method of solving. Every question is a new puzzle for which the students have to find a route from start to end. Very often, students adopt a 走一步看一步 (Directly translated as: Walk one step, watch one step) approach to solving these questions.

Is trigonometry an art?

Proving trigonometry functions is an art. There are often several ways to get to the answer. Naturally, some methods are more elegant and short while other methods are crude, massive and u gly. However, the key point to note is that whichever way we take, as long as we can get to the final destination, we will get the marks.

Is it hard to prove trigonometric function?

There are no hard and fast rule to handling O-level trigonometry proving questions since every question is like a puzzle. But once you have solved a puzzle before, it becomes easier to solve the same puzzle again.